Examples on Limits of Sequences

In this video I go over 4 examples on the limits of sequences and on determining if the limits exists or the sequence diverges. I also apply Theorem 1, which connects limits of functions and their corresponding sequence, and Theorem 2, which connects the limit with its corresponding absolute value limit.

#math #limits #sequences #algebra #education

Timestamps:

• Example 4: Limit of n / (n+1): 0:00
• Example 5: Limit of (ln n) / n: 1:43
  • Recap on L'Hospital's Rule: 2:55
  • Applying Theorem 1 to equate limit for sequences: 4:00
• Example 6: Convergence of sequence (-1)^n: 4:37
  • Sequence oscillates between 1 and -1, thus it is divergent: 6:09
• Example 7: Existence of limit (-1)^n / n
  • Applying Theorem 2 to equate absolute value limit: 7:48
  • Graphing the limit: 8:42

Notes and playlists:

• Summary: https://inleo.io/threads/view/mes/re-leothreads-2llezsbbe
• Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUgfK34Voi6BvrNqt4X4BV
• Notes: https://peakd.com/mathematics/@mes/infinite-sequences-limits-squeeze-theorem-fibonacci-sequence-and-golden-ratio-more
• Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .

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