Precise Definition of Limits at Infinity - Horizontal Asymptotes
In this video I go over precise definition of a limit at infinity and negative infinity. Like my previous video on the precise definition of a limit, the concept is somewhat abstract but if you go over the video carefully, the definition is pretty straight forward.
Watch video on:
- BitChute: https://www.bitchute.com/video/bMpgY6g9LjRL/
- 3Speak:
- DTube: https://d.tube/#!/v/mes/0pup42ofm9l
- YouTube: https://youtu.be/hnjvmdU2j3w
Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiMNlgLe0eQr18ae0Gg?e=T8GDLF
View Video Notes Below!
Download these notes: Link is in video description.
View these notes as an article: https://peakd.com/@mes
Subscribe via email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donate
Buy MES merchandise! https://teespring.com/stores/mes-storeReuse of my videos:
- Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.
Fight back against censorship:
- Bookmark sites/channels/accounts and check periodically
- Remember to always archive website pages in case they get deleted/changed.
Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Subscribe MES Truth: https://mes.fm/truthJoin my forums!
- Hive community: https://peakd.com/c/hive-128780
- Reddit: https://reddit.com/r/AMAZINGMathStuff
- Voat: https://voat.co/v/AMAZINGMathStuff
- Discord: https://mes.fm/chatroom
Follow along my epic video series:
- #MESScience: https://mes.fm/science-playlist
- #MESExperiments: https://peakd.com/mesexperiments/@mes/list
- #AntiGravity: https://peakd.com/antigravity/@mes/series
-- See Part 6 for my Self Appointed PhD and #MESDuality breakthrough concept!- #FreeEnergy: https://mes.fm/freeenergy-playlist
- #PG (YouTube-deleted series): https://peakd.com/pg/@mes/videos
NOTE #1: If you don't have time to watch this whole video:
- Skip to the end for Summary and Conclusions (if available)
- Play this video at a faster speed.
-- TOP SECRET LIFE HACK: Your brain gets used to faster speed!
-- Browser extension recommendation: https://mes.fm/videospeed-extension
-- See my tutorial to learn more: https://peakd.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website- Download and read video notes.
- Read notes on the Hive blockchain #Hive
- Watch the video in parts.
-- Timestamps of all parts are in the description.Browser extension recommendations:
- Increase video audio: https://mes.fm/volume-extension
- Text to speech: https://mes.fm/speech-extension
Precise Definition of Limits at Infinity – Horizontal Asymptotes
Definition:
Let f be a function defined on some interval (a,∞). Then:
Means that for every ε > 0 there is a corresponding N such that:
Let’s choose a smaller ε.
Similarly for limits at negative infinity:
Definition:
Let f be a function defined on some interval (-∞,a). Then:
Means that for every ε > 0 there is a corresponding N such that:
https://twitter.com/MathEasySolns/status/1331809091199533056