Direct Substitution for Rational Functions - Simple Proof

avatar

In this video I continue further into the Direct Substitution Property for Limits and prove that it's true for rational functions while utilizing the same property for polynomials (which was proved earlier).


Watch video on:

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiNcVX27-Gl9c4QBsuw?e=6L5p80


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://mes.fm/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
Subscribe to MES Truth: https://mes.fm/truth

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:


Direct Substitution for Rational Functions: Proof

Direct Substitution Rational Functions Proof.jpg

Direct Substitution Property

If f is a polynomial or a rational function and ‘a’ is in the domain of f, then:

image.png

Functions with the Direct Substitution Property are called continuous at a. Not all limits can be evaluated by direct substitution, such as:

image.png

image.png

image.png



0
0
0.000