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 .

------------------------------------------------------

Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

MES Links: https://mes.fm/links

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes

Email me: [email protected]

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm

Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps