Homework How-to » sandwich rule http://homeworkhowto.com Homework. Easy. Wed, 06 Jan 2010 21:14:39 +0000 en hourly 1 http://wordpress.org/?v=3.3.1 Squeeze Theorem http://homeworkhowto.com/squeeze-theorem/ http://homeworkhowto.com/squeeze-theorem/#comments Thu, 17 Sep 2009 21:27:40 +0000 Christine http://homeworkhowto.com/squeeze-theorem/ 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.

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