Direct Substitution for Polynomials - Simple Proof
Earlier on I showed what the direct substitution property is and how it can be applied to solve limits involving polynomials or rational functions very easily. In this video I go over a simple proof for the direct substitution property for polynomials using the limit laws, which I have also gone over in my earlier videos. In later videos I will provide precise proofs for all the limit laws used in this video.
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Related Videos:
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 prove things but when I do I make sure to prove it... directly ;)
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/direct-substitution-for-polynomials-simple-proof