Name: Problems Plus: Example and Recap on Taylor Series
Uploaded: 2023-08-28T01:18:56+00:00
Duration: 14 min 34 s
Description: In this video I go over the Problems Plus example questions for the Infinite Sequences and Series chapter from my calculus book as well as provide a quick recap on Taylor and Maclaurin Series. The Pro

2 years ago

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problems plus stewart calculus infinite sequences and series taylor series maclaurin series radius of convergence exponential function math example series infinite sum infinite series

In this video I go over the Problems Plus example questions for the Infinite Sequences and Series chapter from my calculus book as well as provide a quick recap on Taylor and Maclaurin Series. The Problems Plus sections of my Stewart calculus book are much more difficult than typical problems, and require very good problem solving skills. In this example, I go over the sum of the infinite series (x+2)^n / (n+3)!. The solution to this problem involves comparing with the known Maclaurin series for the exponential function, and then modifying it to match our given example.

The timestamps of key parts of the video are listed below:

- Example: Find the Sum of the Series: 0:00
- Recap on Taylor Series: 0:29
- Example Looks Like Maclaurin Series for Exponential Function: 6:39
- Modifying Exponential Series to Match Example: 7:53
- Example Series Involves the Exponential Series Missing First 3 Terms: 13:28

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