In this video I proof the squeeze theorem using the precise definition of a limit. For further explanation and examples on the squeeze theorem and the precise definition of a limit make sure to watch the videos in the video links below.

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Proof of the Squeeze Theorem: Using the Precise Definition of the Limit

Squeeze Theorem

If f(x) ≤ g(x) ≤ h(x) for all x in an open interval that contains a (except possibly at a) and:

Recap on Precise Definition of a Limit:

If for every number ε > 0 there is a number δ > 0 such that:

Proof