Problems Plus 11: Solving Log Series Using a Telescoping Sum
In this video I go over an infinite series that involves natural logarithms and can be solved by rearranging it into a form that allows for a Telescoping Sum to be applied. Recall that the Telescoping Sum is such that an infinite series has all terms cancel out except the first and the last term. When we rearrange, using log rules, the series, we see that it can be rewritten into terms whose individual terms are separate by an integer; which means they will cancel out with each successive series addition. Truly remarkable stuff!
The timestamps of key parts of the video are listed below:
- Problem 11: 0:00
- Solution: Simplifying using Logarithm Rules 0:18
- Telescoping Sum: 6:11
- Sum is - ln 2: 10:29
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
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
-
16:04
Math Easy Solutions
21 days ago $0.01 earnedLaboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy
1521 -
34:27
Candace Owens
3 days agoWhat REALLY happened on 9/11? | Candace Ep 9
47.8K289 -
2:17:00
Fed Reacts
13 hours agoFed Explains Foolio Shot After Celebrating Birthday
41.4K49 -
3:54:46
Due Dissidence
1 day agoBowman, AOC, Bernie a BUST at Bronx Rally, Jose Vega DENIED Entry, Teamsters Prez to SPEAK at RNC
61.7K55 -
4:37:52
SonnyFaz
17 hours agoSONNY X SHANNEY RICH
54.7K4 -
2:40:17
vivafrei
21 hours agoEp. 216: SCOTUS RULINGS GALORE! Kansas Sues Pfizer! Trump Gag Order! Recusal of Nipple Judge? & MORE
163K289 -
19:28
Stephen Gardner
4 days ago🔴BREAKING: Biden’s RECKLESS new scheme fails with the PEOPLE!!
126K176 -
LIVE
Vigilant News Network
19 hours agoMedia Blackout: 10 News Stories They Chose Not to Tell You - Episode 28
1,023 watching -
13:07
Evenout
18 hours agoStealing Jordan 1 OG Then Re-Appearing With a Different Shoes Twin Prank!
78.1K10 -
1:20:26
Winston Marshall
1 day agoUNCOVERED: Legal System Weaponised - Trump, Hunter, Bannon & Biden | The Winston Marshall Show #020
118K136