Name: True-False Quiz: Question 3: Infinite Limits of a_n and a_(n+1) are the Same
Uploaded: 2023-12-20T04:10:00+00:00
Duration: 1 min 20 s
Description: In this video I show that if the limit as n approaches infinity of the sequence a_n approaches L than so does the limit as n approaches infinity of the sequence a_(n+1). This is because if n approache

2 years ago

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Health & Science Education math calculus science series stem sequences infinitey convergence divergence

In this video I show that if the limit as n approaches infinity of the sequence a_n approaches L than so does the limit as n approaches infinity of the sequence a_(n+1). This is because if n approaches infinity, then so does n + 1 (since infinity + 1 is still infinity). Thus the limits are the same and the question is true.

Timestamps:

- Question 3: 0:00
- Solution: True: 0:13
- Both limits approach L as n approaches infinity: 1:00

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