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	<title>Homework How-to &#187; squeeze theorem</title>
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		<title>Squeeze Theorem</title>
		<link>http://homeworkhowto.com/squeeze-theorem/</link>
		<comments>http://homeworkhowto.com/squeeze-theorem/#comments</comments>
		<pubDate>Thu, 17 Sep 2009 21:27:40 +0000</pubDate>
		<dc:creator>Christine</dc:creator>
				<category><![CDATA[Calculus]]></category>
		<category><![CDATA[functions]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[pinching theorem]]></category>
		<category><![CDATA[sandwich rule]]></category>
		<category><![CDATA[sandwich theorem]]></category>
		<category><![CDATA[squeeze lemma]]></category>
		<category><![CDATA[squeeze theorem]]></category>

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		<description><![CDATA[Squeeze Theorem Explained

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. [...]]]></description>
			<content:encoded><![CDATA[<h3><strong>Squeeze Theorem Explained</strong></h3>
<p><a href="http://homeworkhowto.com/squeeze-theorem/"><em>Click here to view the embedded video.</em></a></p>
<hr /><strong></p>
<p class="content_description">Description</p>
<p> </p>
<p></strong></p>
<p>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.</p>
<div><strong></strong></div>
<p> </p>
<p><strong></p>
<p class="content_overview">Overview</p>
<p> </p>
<p></strong></p>
<p>The <strong>squeeze theorem</strong> is a theorem regarding the limit of a function. It is very important in calculus proofs. The Squeeze Theorem states: Let <strong>l</strong> be an interval containing point <strong>a</strong>. Let <strong>f, g, </strong>and <strong>h</strong> be functions defined on <strong>l</strong>, except possibly at <strong>a</strong> itself. Suppose that for every <strong>x</strong> in <strong>l</strong> not equal to <strong>a</strong>, we have:</p>
<img src='http://s.wordpress.com/latex.php?latex=g%28x%29%20%5Cleq%20f%28x%29%20%5Cleq%20h%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(x) \leq f(x) \leq h(x)' title='g(x) \leq f(x) \leq h(x)' class='latex' />
<p>And also suppose that:</p>
<img src='http://s.wordpress.com/latex.php?latex=%5Clim_%7Bx%20%5Cto%20a%7D%20g%28x%29%20%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%20h%28x%29%20%3D%20L.&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L.' title='\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L.' class='latex' />
<p>Then, <img src='http://s.wordpress.com/latex.php?latex=%5Clim_%7Bx%20%5Cto%20a%7D%20f%28x%29%20%3D%20L.&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\lim_{x \to a} f(x) = L.' title='\lim_{x \to a} f(x) = L.' class='latex' /></p>
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