Direct Substitution for Rational Functions - Simple Proof by mes

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· @mes · (edited)
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Direct Substitution for Rational Functions - Simple Proof
<center><a href='https://d.tube/#!/v/mes/a2wntekipba'><img src='https://snap1.d.tube/ipfs/QmSrhyib7LZPBgH5C26WT3CYK6GHzGrJDhHzRjKYGUdaMo' ></a></center><hr>

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

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vote details (7)
@mes ·
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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