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	<id>https://gradwiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=007A_Sample_Final_3%2C_Problem_4</id>
	<title>007A Sample Final 3, Problem 4 - Revision history</title>
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	<updated>2026-04-20T14:28:33Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://gradwiki.math.ucr.edu/index.php?title=007A_Sample_Final_3,_Problem_4&amp;diff=4588&amp;oldid=prev</id>
		<title>Kayla Murray: Created page with &quot;&lt;span class=&quot;exam&quot;&gt; Discuss, without graphing, if the following function is continuous at &amp;nbsp;&lt;math style=&quot;vertical-align: 0px&quot;&gt;x=0.&lt;/math&gt;  ::&lt;math&gt;f(x) = \left\{      \beg...&quot;</title>
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		<updated>2017-12-03T16:13:31Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt; Discuss, without graphing, if the following function is continuous at  &amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;x=0.&amp;lt;/math&amp;gt;  ::&amp;lt;math&amp;gt;f(x) = \left\{      \beg...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt; Discuss, without graphing, if the following function is continuous at &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;x=0.&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;f(x) = \left\{&lt;br /&gt;
     \begin{array}{lr}&lt;br /&gt;
       \frac{x}{|x|} &amp;amp;  \text{if }x &amp;lt; 0\\&lt;br /&gt;
        0 &amp;amp;  \text{if }x = 0\\&lt;br /&gt;
      x-\cos x &amp;amp; \text{if }x &amp;gt; 0&lt;br /&gt;
     \end{array}&lt;br /&gt;
   \right.&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;If you think &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -4px&amp;quot;&amp;gt;f&amp;lt;/math&amp;gt;&amp;amp;nbsp; is not continuous at &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -4px&amp;quot;&amp;gt;x=0,&amp;lt;/math&amp;gt;&amp;amp;nbsp; what kind of discontinuity is it?&lt;br /&gt;
&amp;lt;hr&amp;gt;&lt;br /&gt;
[[007A Sample Final 3, Problem 4 Solution|'''&amp;lt;u&amp;gt;Solution&amp;lt;/u&amp;gt;''']]&lt;br /&gt;
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[[007A Sample Final 3, Problem 4 Detailed Solution|'''&amp;lt;u&amp;gt;Detailed Solution&amp;lt;/u&amp;gt;''']]&lt;br /&gt;
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[[007A_Sample_Final_3|'''&amp;lt;u&amp;gt;Return to Sample Exam&amp;lt;/u&amp;gt;''']]&lt;/div&gt;</summary>
		<author><name>Kayla Murray</name></author>
	</entry>
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