In this video I go over a two-part problem that involves proving a trigonometric identity and then using that identity to find the sum of an infinite series. The trig identity involves a half angle tangent function. The infinite series involves solving with a telescoping sum and applying L'Hospital's Rule.
The timestamps of key parts of the video are listed below:
- Problem 3: 0:00
- Solution to (a): Prove the Trig Identity: 0:34
- Solution to (b): Sum of Series: 5:19
- Telescoping Sum: 11:39
- Applying L'Hospital's Rule: 21:29
- Putting it All Together: 24:30
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus:
- HIVE video notes: @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 .
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