matheasy

In this video I uploaded the 3rd song titled "Liberty Street" from the 1109 music album by Keor Meteor. This song covers the return of Michael Jordan to the NBA announced on 9/11, photographer David Handschuh getting picked up as if by a tornado along Liberty Street, and the mystery of the millions of unburnt paper all over the World Trade Center (WTC). The original album and more links are listed below: - Original Album: https://keormeteor1.bandcamp.com/album/1109 - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FUd8p-bzqCVSDd6gOcHcDr - Keor was inspired by my 9/11 Truth series: https://t.me/meslinks/22610 Timestamps and footage used are listed below: - CNN: Michael Jordan is Back: https://youtu.be/IMVTB2aVUg0: 0:00 - David Handschuh 9/11 eye witness: https://youtu.be/AaICfnxxRDk: 0:36 - Mystery of millions of unburnt paper on 9/11: https://t.me/meslinks/21388: 1:23 - Enormous amount of WTC building materials turned to dust: 2:26 Related Videos: - #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh - Uncensored playlist: https://peakd.com/truth/@mes/911 - 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I do a debunk of Eric Dubay's debunk of my earlier Flat Earth debunk and show that the Mountain's shadow forms opposite triangular shapes depending on if it is on top or below the clouds. When the Sun goes below the horizon, it can form an epic shadow of large objects such as Mountain's or skyscrapers unto the underside of the clouds. In this case, the shadow has a triangular shape where the pointy part is near the peak of the Mountain and the wider base is on the far side away on the clouds. If the Mountain peak is above the clouds, then as the Sun approaches near the horizon, it can form a shadow above the clouds that is in reverse direction as to the one below the clouds. This is pretty straight forward stuff, but that doesn't stop professional liar Eric Dubay from lying about what our eyes clearly see. I debunk Eric's many lies in methodical fashion. Video links: - MES Links: https://mes.fm/links - Debunking Flat Earth Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUyOvHJiyX74GmJ79exCkh - Debunking Flat Earth: Mountain's Shadow on Clouds: https://youtu.be/j6Ey7zUpoos - Thumbnail: https://t.me/meslinks/22541 - Shadow on Clouds: https://flatearth.ws/shadow-on-clouds - Professional liar Eric Dubay pushing bogus disinfo: https://youtu.be/xDH6a3TJqpA - Lie 1: Alludes to the Sun reflecting to ground as a possible explanation. - Lie 2: Says ALL Mountain cloud shadow images are when mountain peak is above clouds. - Lie 3: Says shadow is from above the clouds. (Clouds are in REVERSE direction) - Lie 4: Says Sun never goes below the horizon. - Why is the top of the mountain illuminated but below it is not? What is causing that shadow in FRONT of the Mountain? Is the Sun below the clouds (answer is yes). - Lie 5: He shows the clouds in REVERSE direction to what it should be, confirming he is deliberately misleading his audience aka lying. - Lie 6: His graphic confirms that he is ignoring the shadow on the front of the Mountain. - Continues lying at end of video etc. - Good debunk: Mount Rainier's Shadow and Electroflerfspectivism. https://youtu.be/-MhWmD05dN0 - Many photos of Mountain peak CLEARLY below clouds: https://presearch.com/images?q=mountain%27s+shadow+on+clouds - Mountain Shadow Above and Below Clouds Experiments: https://youtu.be/sAhQN86ZBy4 - DRAFT Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfZ_7hUuyO7xN8lp5oaDiu - Mount Rainier Epic photo: https://twitter.com/KClarkWx/status/1325837129851703298 Timestamps: - Intro and Links: 0:00 - MES Links: 1:40 - Previous video: Mountain's shadow on clouds: 2:10 - Debunking Eric Dubay: 3:07 - Lie 1: Eric suggesting shadow reflections as an explanation: 3:41 - Lie 2: Eric states ALL images have Mountain peak above clouds: 4:40 - Lie 3: Eric says shadow is above the clouds: 6:06 - Lie 4: Eric says Sun never goes below the horizon: 6:52 - Top of the mountain is illuminated but not below it: 7:18 - Lie 6: Eric confirms that he is ignoring the shadow IN FRONT of the Mountain: 8:23 - Lie 5: Eric shows clouds in REVERSE direction to what it should be: 9:16 - Good debunk by Mike the Engineer: 10:22 - MES Experiment: Mountain shadow above and below clouds: 11:43 - Draft MES Experiments and Outro: 15:17 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that if a series is convergent, then an alternating series version of it also converges because that would be absolutely convergent. Adding (-1)^n to a series makes it alternate between positive and negative terms. An absolutely convergent series is also just normally convergent. This is because the terms approach zero regardless if they are positive or negative. Thus the answer to the question is True. Time stamps: - Question 17: 0:00 - Solution: True: 0:23 - Absolutely convergent series is also convergent: 0:48 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that a sequence is convergent, by the Monotonic Sequence Theorem, if it is positive and decreasing for all values of n. This would mean that the sequence is bounded because the largest value would be the initial term and the smallest value is a number greater than 0. Thus we can apply the Monotonic Sequence Theorem and the sequence is convergent. We can see this visually since the terms of the sequence will approach a limit L greater than 0. Thus, the answer to our question is True. Time stamps: - Question 16: 0:00 - Solution: True: 0:23 - Monotonic Sequence Theorem: 0:43 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that we can multiply 2 divergent sequences to form a convergent sequence. The example I use is the sequence with terms (-1)^n, which is a divergent sequence that alternates between 1 and - 1 as n approaches infinity. If we multiply this sequence by itself, hence multiplying 2 divergent sequences, we end up with 1^n which equals 1 for all values of n. Thus the new sequence is convergent, and the answer to the question is False: multiplying divergent sequences does not necessarily mean we get a divergent sequence. Time stamps: - Question 15: 0:00 - Solution: False: 0:10 - Divergent sequences (-1)^n multiply to form a convergent sequence: 0:17 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually diverge to infinity or negative infinity, summing them up involves all terms canceling out and converging to n - n = 0. Thus the answer to the question is False, that is, the sum of 2 divergent series is not necessarily also divergent. Time stamps: - Question 14: 0:00 - Solution: False: 0:14 - Example of 2 divergent series summing to form a convergent series: 0:25 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I have uploaded the 2nd song titled "1109" from the 1109 music album by Keor Meteor. This song is about the early morning news reports on September 11, 2001 which include the universal downplaying and ignoring of the giant Hurricane Erin just off the coast of New York City (NYC). The original album and more links are listed below: - Original Album: In this video I have uploaded the 2nd song titled "1109" from the 1109 music album by Keor Meteor. This song is about the early morning news reports on September 11, 2001 which include the universal downplaying and ignoring of the giant Hurricane Erin just off the coast of New York City (NYC). I have included video footage of the audio used in the song, and the links to these can be seen in the timestamps below. NBC News reported that the United States (US) loses its 2nd spy plane in Iraq in two weeks, foreshadowing the US invasion / genocide of Iraq. CBS News says there is miles and miles of sunshine, but doesn't show the giant Hurricane Erin off the coast of NYC on the TV screen causing "rough seas" from its "chop". He also points out that the weather is quiet, a little too quiet. The video ends with a CBS News Breaking Story of the first alleged plane impact on the North Tower of the World Trade Center (WTC). The original album and more links are listed below: - Original Album: https://keormeteor1.bandcamp.com/album/1109 - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FUd8p-bzqCVSDd6gOcHcDr - Keor was inspired by my 9/11 Truth series: https://t.me/meslinks/22610 Timestamps and footage used are listed below: - 7:08 AM on 9/11/2001: 0:00 - NBC News: US Loses Spy Plane in Iraq: https://youtu.be/GC2hmocM3YM: 0:05 - "Three Numbers that can save your life 911": https://youtu.be/zx8_Pumdkpg: 0:14 - CBS News: "Miles and Miles of Sunshine": https://youtu.be/Pm4MowtCgm8: 0:27 - "Rough seas still from the chop from that Hurricane": 0:34 - "... it's too quiet": 0:46 - CBS News Breaking Story: 0:54 Related Videos: - #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh - Uncensored playlist: https://peakd.com/truth/@mes/911 - 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over another example on Slant Asymptotes and this time look at the slant asymptote lines of a horizontal hyperbola, which is a hyperbola that extends outwards horizontally. The hyperbola x^2/a^2 – y^2/b^2 = 1 where a and b are constants has slant asymptote lines y = +/- (b/a)x. This is proven by applying the definition of slant asymptotes which I covered in my earlier video, and that is the limit as x approaches infinity of the difference between the function and a line approaches zero. In other words the function, in this case the hyperbola, approaches the asymptote lines. In proving this, I first rearrange the hyperbola to write it as y = f(x). But since the function involves square rooting a square, we get a two part function that can be either positive or negative, and thus to save time I combined all of the +/- terms (as well as the limit as x approaches +/- infinity) in just one limit formula. This was a shortcut on my part, but nonetheless the result is the same for this particular example as compared with doing it individually. I will be referencing this example on slant asymptotes for a horizontal hyperbola in my later videos, so make sure you watch this video and understand the derivation! - PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh5E1eR_74BRIMsvEmA - Hive notes: https://peakd.com/mathematics/@mes/slant-asymptote-lines-example-2-horizontal-hyperbola - Limits playlist: https://www.youtube.com/playlist?list=PLFE39AF0D7E0651AC Related Videos: Slant Asymptote Lines: Example 1: Rational Function: https://youtu.be/FT5yNtPeBvg Slant Asymptote Lines + Special Case: Rational Functions and Long Division: https://youtu.be/QX2nfi5JtQs Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0 Limits at Infinity: Horizontal Asymptotes: http://youtu.be/6pdgb09wRvI . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that we can solve for any given derivative of a function just by looking at its coefficients if it can be written as a convergent power series. The coefficients of a power series are given by the formula: (n-th derivative at a) / n!. In our question, we are asked to solve for the 3rd derivative of such a function. I show that we can solve it via the coefficients of a power series, and then confirm our result by solving for the derivatives directly. Thus, the answer to the question is True. Time stamps: - Question 13: 0:00 - Solution 1: True. Coefficients of a Power Series: 0:27 - n=3 coefficient: 3:15 - Solution 2: Differentiating f(x) directly: 4:32 - Third derivative is 2: 6:27 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

Time to get back to my life goal of creating a free energy device, and the first one I hope to replicate and validate is Bruce DePalma's N-machine, which is essentially a magnetized gyroscope. Related Videos: - MES Livestreams: https://www.youtube.com/@mes/streams - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

Legendary 9/11 truth activist and Vietnam veteran Matthew Naus joins the show to discuss his long journey in the truth movement and his experience dealing first hand with many controlled opposition gatekeepers. January 27, 2023 Saturday at 1 PM PST / 3 PM CST / 4 PM EST / 11 PM CAT https://youtube.com/live/wK4QLT3MqM0

In this video I show that a divergent series also means that the absolute value of the series is divergent. This follows from my earlier theorem that an absolutely convergent series is also convergent. Thus if the opposite were true, a divergent series would mean that it would be absolutely convergent, and hence convergent, which is a contradiction! Thus, the answer to the question is True, and a divergent series is also absolutely divergent. Note that I made a typo in the video, the absolute value sign should be inside the summation series. Nonetheless, I solved it as if was inside. Time stamps: - Question 12: 0:00 - Solution: True: 0:13 - Theorem: An absolutely convergent series is also convergent: 1:44 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that the sequence r^n is convergent and is equal to 0 when r is between 1 and -1. This is because a number whose absolute value is less than 1 becomes smaller and smaller each time it is multiplied. The negative sign only has it changing from positive to negative but the absolute value still becomes smaller. Thus the answer to the question is True. Note also when r = 1, the sequence is also convergent but it equals 1 since 1^n is always equal to 1. Time stamps: - Question 11: 0:00 - Solution: 0:14 - Visual illustration: 1:17 - Visualization of powers of negative r: 2:34 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I have uploaded, with permission, the first song titled "Intro" of the digital album 1109 by Keor Meteor. Keor was inspired by my 9/11 Truth video series and he has sampled many parts from it. This first song is an introduction to the topic of free energy and the Hutchison Effect. I have included a video of the Hutchison Effect in which a solid block of iron gets weakened by electromagnetic interference until it warps and twists until it starts fuming. I have also included audio from John Hutchison stating that the Canadian government confiscated (aka stole) all 22 tons of his laboratory equipment. The song is absolute fire and I have included it as the trailer for my MES 20 Livestream on the Hutchison Effect. The original album and more links are listed below: - Original Album: https://keormeteor1.bandcamp.com/album/1109 - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FUd8p-bzqCVSDd6gOcHcDr - Trailer for MES Livestream 20: Hutchison Effect Deep Dive: https://youtube.com/live/FHU3nq8oL04 - John Hutchison warps a solid block of iron: https://t.me/meslinks/9737 - Keor was inspired by my 9/11 Truth series: https://t.me/meslinks/22610 - 2021 Kabul airlift with a Boeing plane numbered 1109: https://en.wikipedia.org/wiki/2021_Kabul_airlift Timestamps: - Hutchison Effect on a 7"x2"x2" solid block of iron: 0:00 - Iron block starts fuming: 0:19 - John Hutchison speaks about "Zero Point Energy": 0:30 - Canadian government seized John's laboratory equipment: 0:54 Related Videos: - #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh - Uncensored playlist: https://peakd.com/truth/@mes/911 - 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I start a new series on Giza Pyramid Geometry and show that the mathematical constants pi, e, and the Golden Ratio are all encoded inside the Great Pyramid of Giza. The Great Pyramid of Giza was supposedly built in the early 26th century BC over a period of 27 years as a tomb for the pharaoh Khufu. The original height was 146.6 m and the base has a side length of 230.33 m, with a slope of 51.84 degrees, and a top angle of 76.31 degrees. If we scaled this down such that the height is 4 meters, we obtain several famous mathematical constants. The base side length becomes equal to 2pi and the cross-section slope length becomes pi∙phi where phi is the Golden Ratio. Furthermore, the number e is obtained from the equation 4∙slope / (top angle). Later in the video I do some further trigonometric calculations check for tangent, cosine, and sine of the slope. All the calculations were within 99.93% or more similar to the mathematical constants. This begs the question as to whether this was intentional, a coincidence, or merely the nature of optimal building construction methods and geometry. These questions and more will be explored in further videos! Also alluded to in the video is that the coordinates of the Giza Pyramid encode the speed of light in m/s, which is also a topic for a future video so stay tuned... Video links: - MES Links: https://mes.fm/links - YouTube playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HIzqSVzEURzhMphO9ePJ22 - Great Pyramid of Giza Wiki: https://en.wikipedia.org/wiki/Great_Pyramid_of_Giza - Mathematical Encoding in the Great Pyramid: https://www.ancient-origins.net/ancient-places-africa-opinion-guest-authors/mathematical-encoding-great-pyramid-002323 - MES Excel file: https://1drv.ms/x/s!As32ynv0LoaIitEu2xs-6uVQJLBBQg - Pi (π): https://en.wikipedia.org/wiki/Pi - e: https://en.wikipedia.org/wiki/E_(mathematical_constant) - Golden ratio (φ): https://en.wikipedia.org/wiki/Golden_ratio - ChatGPT to convert angle to degrees: https://chat.openai.com/share/3aafc363-6d43-4f7d-9611-7416d305b0d5 - Pythagorean Theorem: https://en.wikipedia.org/wiki/Pythagorean_theorem . Timestamps: - Intro and links: 0:00 - MES Links: 1:15 - Great Pyramid of Giza Wiki: 1:36 - Giza pyramid dimensions: 2:26 - Ancient Origins article: 3:19 - MES Excel file, pi, e, phi, ChatGPT degrees: 4:07 - MES Excel calculations: 5:20 - Original Giza Pyramid dimensions: 6:13 - Pythagorean Theorem: 7:55 - Giza Pyramid scaled to a height of 4 meters: 8:10 - Comparisons with Famous Constants: pi, e, phi: 9:20 - Trigonometry Check: 13:04 - Outro: 15:10 ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I plug -1 into the Maclaurin power series for e^x to obtain the series for the number 1/e. This number can be written as e^(-1), which means we can plug it into our e^x series which I had derived in an earlier video. We obtain the same result as the question, thus the answer is True. Time stamps: - Question 10: 0:00 - Solution: True: 0:19 - Plugging in 1/e into e^x power series: 0:53 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that if a series has all its terms less than the corresponding terms of a divergent series, then the series may or may not diverge. This question is just a misinterpretation of the Comparison Test, which should instead state that if a series has terms greater than those of a Divergent series, than that series also diverges. Having terms less than a divergent series is not enough information to state that series converges or diverges, thus the answer is False. Time stamps: - Question 9: 0:00 - Solution: False: 0:20 - Misuse of the Comparison Test: 0:46 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I demonstrate that a mountain's shadow on the clouds can only occur when the Sun is near or below the horizon, thus proving the Earth is not flat. When the Sun goes below or near the horizon, it can create shadows of tall objects such as buildings or mountains that are visible in the clouds, creating some stunning imagery. This phenomenon can not occur on a Flat Earth since it would literally mean the Sun is at ground level. Some "Flat Earthers" try to deny the obvious by stating the Sun is somehow reflecting off the ground and then back on the clouds which is too ludicrous to even entertain. Nonetheless, I do a simple table top experiment showing that the shadow of the Mountain can only go above it's elevation if the light source was below the mountain. I also test out what happens when the light is shown onto a mirror on the ground, which results in some interesting but very different shadows than what are actually observed in nature. In later videos, I will debunk further bogus Flat Earth "explanations" by the likes of (disinfo agents) Eric Dubay and Taboo Conspiracy, so stay tuned! Video links: - MES Links: https://mes.fm/links - Debunking Flat Earth Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUyOvHJiyX74GmJ79exCkh - This video CREATES EX Flat Earthers by SeekTruth | SpeakTruth (STST): https://youtu.be/USt4uTbIOKk - Shadow on Clouds: https://flatearth.ws/shadow-on-clouds - Flat Earther says Sun is reflecting off the ground LOL 🤣🤣🤣https://youtu.be/6ocJ1Jo0ppU - Mountain Shadow on Clouds Experiment: https://youtu.be/njvOTb1BJYg - DRAFT Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfZ_7hUuyO7xN8lp5oaDiu Timestamps: - Intro and Links: 0:00 - MES Links: 1:01 - Mountain shadow on clouds photos and information: 1:39 - Flat Earther bogus reflection "explanation": 3:24 - MES DRAFT experiment: Shining light on container: 3:38 - Shining light on mirror has different shadows: 4:28 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #911Truth Part 28 I have posted a compilation of photos of twisted, mangled, warped, and literally mutilated steel on 9/11. Although most of the steel from the World Trade Center (WTC) turned literally into dust in mid-air, the relatively few remaining pieces of steel experienced unconventional damage. Steel literally bending with no signs of cracking, steel glowing with no signs of heat present, subway beam sagging like melted chocolate, and steel columns twisted like noodles. Perhaps the most puzzling piece is pages from the Bible literally melted into steel instead of burning up. A passage from Matthew Chapter 5 is still visible, which involves Jesus urging his followers against retaliation. The closest resemblance to what happened to the steel comes in the form of the Hutchison Effect, named after Canadian inventor John Hutchison. John spent much of his life replicating Nikola Tesla's works and in many ways did just that. Using interfering bands of microwave radiation and static electricity, John was able to bend steel, levitate bowling balls, and even merge wood into steel; all without high heat. John even swore in an affidavit that 9/11 involved the use of a "scaled up" Hutchison Effect! https://t.me/meslinks/16545 Pictures taken from: - 911: Ground Zero WTC Steel Radiation @xdesmond : https://youtu.be/sms2woJWlqQ - 911: The Steel of the WTC Subway Sagged: https://youtu.be/hGpueM7ThCU - 911- Mutilated WTC Steel by xdesmond: https://youtu.be/njt6QzwCV2g - 9/11 "Meteor": https://www.911research.wtc7.net/~nin11evi/911research/wtc/evidence/photos/hanger17.html - 9/11 memorial twisted steel: https://t.me/meslinks/22208 - 9/11 Bible fused to steel: https://t.me/meslinks/22262 Timestamps: - Glowing metal: 0:00 - Subway sagging steel beams: 0:15 - Mutilated steel: 1:19 - Large perfectly bend steel: 14:53 - Meteor: Concrete, steel, wood, paper, wires merged together: 15:06 - Large steel beam bent completely backwards: 15:22 - Fused Bible to steel: 15:32 Stay tuned for #911Truth Part 29... Screenshots of video: https://peakd.com/hive-113182/@mes/ndloyfuv Related Videos: - #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh - Uncensored playlist: https://peakd.com/truth/@mes/911 - 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that the series with terms 1/n! converges by the Ratio Test. The Ratio Test states that the limit as n approaches infinity of the absolute value of the ratio of terms a_n+1 / a_n converges if it equals to a number less than 1, diverges if greater than 1, and inconclusive if equal to 1. In our case, I show that the Ratio Test is equal to 0, which is less than 1. Hence our given series converges and the answer to the question is True. Time stamps: - Question 8: 0:00 - Solution: True: 0:15 - Ratio Test = 0 = Converges: 2:38 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that the Ratio Test can not be used to determine if the series with terms 1/n^3 converges or diverges. The ratio test states that if the limit as n approaches infinity of the absolute value of the ratio a_n+1 term / a_n is equal less than 1, it is convergent. If it is greater than 1 it is divergent. But if it is equal to 1 then it is inconclusive and no conclusion can be drawn about the convergence or divergence of the series. Applying the ratio test for our given series we get the limit approaching 1, which is inconclusive. Hence, the solution to our question is False and the ratio test can not be used to determine if our series converges or diverges. Time stamps: - Question 7: 0:00 - Solution: False: 0:15 - Applying the Ratio Test: 1:04 - Ratio Test = 1 = Inconclusive: 5:14 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #MESExperiments 32 I compare the rising behavior of a Tippe Top, a Phi Top, and an Unspun vs. Spun Up Gyro with 2 degrees of Freedom. The Tippe Top is a mushroom shaped spinning top that rises completely upside down when spun, raising its center of mass. The Phi Top or solid steel egg also rises upwards raising its center of mass when spun up. An unspun gyroscope that is in gimbles such that it can turn about the vertical and horizontal axis will align itself vertically when torqued horizontally. But when that same gyroscope is spun up, torquing it horizontally will make the gyro precess until it lines with the direction of the torque horizontally. In that latter, there are 2 key conditions: stable and unstable torque. When torqued horizontally in the gyro spin direction, the condition is stable and the gyro will not precess. When torqued in the exact opposite direction, the gyro is in an unstable condition and any slight deviation from a perfect horizontal torque will induce precession and flip the gyro completely upside down. Very interesting stuff! Unedited experiment: https://youtu.be/A92xwl9z9_k Timestamps: - Tippe Top flips upside down: 0:00 - Phi Top rises vertically upwards: 0:42 - Unspun Gyroscope aligns vertically: 1:36 - Spun Gyroscope aligns with horizontal torque: 2:01 - Torquing opposite of gyro spin is unstable: 2:35 - Torquing in direction of gyro spin is stable: 2:40 Stay tuned for #MESExperiments 33... View experiment screenshots and more experiments below: - Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/aryxzrkj - #MESExperiments video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh - Hive playlist: https://peakd.com/mesexperiments/@mes/list - DRAFT #MESExperiments video series: https://mes.fm/experiments-draft Related Videos: #MESScience video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 #AntiGravity video series: https://peakd.com/antigravity/@mes/series #FreeEnergy video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that if a power series with powers 6^n is divergent by the Radius of Convergence Theorem then the series with powers 10^n is also divergent. A power series has 3 conditions, it's either convergent at x = a = 0 in our case, or converges for all x, or converges whenever |x - a| is less than R, termed the radius of convergence. In our case, x = 6 and a = 0, but the series diverges, so R is less than 6. This means that R is less than 10 as well, so our given series is also divergent. Time stamps: - Question 6: 0:00 - Solution: True: 0:25 - Radius of convergence R is less than 6: 1:51 - R is less than 10 so our series diverges too: 2:44 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that given that a power series with the powers 6^n is convergent, the same can't be said by a similar power series with negative powers (-6)^n which is actually divergent. First off, we can't use the radius of convergence theorem since if R = 6, we aren't given any information about the end points at x = +/- 6 which can converge or diverge. Instead, we can do a pretty clever trick by rewriting the coefficients such that we obtain an alternating series for the original series, which converges. Doing the same for our given series, we obtain a p = 1 series which is divergent, thus the answer is False. Time stamps: - Question 5: 0:00 - Solution: False: 0:18 - Radius of convergence doesn't help us: 4:03 - Modify both series by defining the coefficients: 4:26 - Original series converges by the Alternating Series Test: 5:32 - Changing coefficient for our given series: 9:31 - Our given series is a divergent p = 1 series: 12:06 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that if we are given that a power series of the form 6^n is convergent, then a power series of the form (-2)^n is also convergent by the radius of convergence theorem and also the comparison test. The radius of convergence theorem states that a power series has only 3 possibilities for convergence: the series converges only for x = a = 0 in our case, the series converges for all x, or it converges for |x - a| is less than R. In our case the 6^n means that it is convergent for R is less than 6, which is greater than 2, thus our given series is also convergent. Likewise, we can compare the positive form of our power series with the convergent power series to show that it too is convergent, since all the terms would be less than the convergent series. And if a series is absolutely convergent than it is also convergent, thus proving our case. Timestamps: - Question 4: 0:00 - Solution 1: True: Radius of Convergence Theorem: 0:18 - Solution 2: Comparison Test: 7:02 Full video below: - Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI - HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L Related Videos: Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps