Precise Definition of Infinite Limits at Infinity: Example

avatar

In this video I go over a useful example to better illustrate the precise definition of infinite limits at infinity. The example I go over is a math proof using the precise definition of the limit as x approaches infinity of the function f(x) = 1 + x3 and proving it is equal to infinity.


Watch video on:

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiMI-sfO4hFLNPCps-Q?e=XLoqDn


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-store

Reuse 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

Join my forums!

Follow along my epic video series:


NOTE #1: If you don't have time to watch this whole video:

Browser extension recommendations:


Precise Definition of Infinite Limits at Infinity: Example

Precise Definition of Infinite Limits at Infinity Example.jpeg

Example

Prove using the precise definition:

image.png

Solution

Recap on Precise Definition:

Let f be a function defined on some interval (a, ∞). Then:

image.png

means that for every positive number M there is a corresponding positive number N such that:

image.png

image.png

image.png

image.png



0
0
0.000