In this video I derive a similar formula as in Problem 7 but this time use arccot or inverse cotangent. I then use that formula, as well as the useful method of the Telescoping Sum, to determine the sum of a series involving arccot and show that it equals to π/2.
The timestamps of key parts of the video are listed below:
- Problem 8: 0:00
- Solution to Part (a): 0:30
- Solution to Part (b): 18:11
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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