Posts Tagged ‘squeeze theorem’

Squeeze Theorem

Thursday, September 17th, 2009

Squeeze Theorem Explained

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Description

 

A detailed tutorial on the solving of the Squeeze Theorem. Step by step tutorial including several examples of how to solve the Sqeeze Theorem for reference. Knowledge of the Squueze Theorem is required for calculus.

 

Overview

 

The squeeze theorem is a theorem regarding the limit of a function. It is very important in calculus proofs. The Squeeze Theorem states: Let l be an interval containing point a. Let f, g, and h be functions defined on l, except possibly at a itself. Suppose that for every x in l not equal to a, we have:

g(x) \leq f(x) \leq h(x)

And also suppose that:

\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L.

Then, \lim_{x \to a} f(x) = L.