Direct Substitution for Rational Functions - Simple Proof

in DTube3 years ago (edited)


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).

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

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/direct-substitution-for-rational-functions-simple-proof

Related Videos:

Direct Substitution for Polynomials - Simple Proof: http://youtu.be/Fnb72ERTLqY
Rational and Algebraic Functions - A Brief Explanation: http://youtu.be/4mvNTeXEW-k
Limit Laws - Part 1 Examples: http://youtu.be/tL_c7ZKkUBQ
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
Limits - Examples Part 1: http://youtu.be/lczWvRBw60A
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE .


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I don't always directly substitute things but when I do, it's usually in Rational Functions ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/direct-substitution-for-rational-functions-simple-proof

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