Limit of a Composite Function Theorem: Proof

In this video I go over the limit of a composite function theorem which which states that if you have a function within another function then the limit can be written outside or within the main function. For example the limit of f(g(x)) equals f(limit of g(x)) as x approaches a. In the proof I used the precise definition of a limit make sure to fully understand it by watching the related videos in the links below.

Download the notes in my video: https://www.dropbox.com/s/m7pcm9bg4xvc8zt/312%20-%20Limit%20of%20a%20Composite%20Function%20-%20Proof.pdf

Related Videos:

Continuity: http://youtu.be/_tBGb7Ku-CM Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq Precise Definition of a Limit - Example 1: http://youtu.be/p__GkKUswmY Precise Definition of a Limit - Example 2: Proving limits exists: http://youtu.be/HC-ClOx1sFs Limit Laws - Proof of Sum Law: http://youtu.be/eZ13wOvSg64 Limit Laws - Proof of Product Law: http://youtu.be/TNqTXJzqE7s Limit Laws - Proof of Constant Multiple Law: http://youtu.be/RJjyjrZlXQc Limit Laws - Proof Difference Law: http://youtu.be/_rT1ZT10n-U Limit Laws - Proof of Quotient Law: http://youtu.be/91D_6wru6G4 .

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