In this video I go over the notation and precise definition for sequences that diverge to infinity when the number of terms go to infinity. The precise definition states that the limit of a sequence approaches infinity if for every positive number M there is a corresponding integer N such that the terms of the sequence are greater than M whenever the n-th term is greater than N. Just as with limits in general, the infinite limit of a function at infinity is the same as that for a sequence except that we are dealing with integer values for the domain of sequences.
#math #limits #sequences #algebra #education
Timestamps
- Notation for infinite limits: 0:00
- Definition 3: Precise definition for an infinite limit at infinity: 0:36
- Definition for sequences is similar to functions: 1:18
- Graphing infinite limit at infinity for functions: 1:45
- Graphing corresponding infinite limit at infinity for sequences: 3:30
- Infinite limits at infinity are said to be divergent or diverges to infinity: 5:25
Notes and playlists
- Summary: https://inleo.io/threads/view/mes/re-leothreads-uw4hpwl
- 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
▶️ 3Speak