True-False Quiz: Question 3: Infinite Limits of a_n and a_(n+1) are the Same

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In this video I show that if the limit as n approaches infinity of the sequence an approaches L than so does the limit as n approaches infinity of the sequence an+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:
  • 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

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