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	<id>https://gradwiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=Andy%27s_practice_page</id>
	<title>Andy's practice page - Revision history</title>
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	<updated>2026-04-20T15:58:13Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.0</generator>
	<entry>
		<id>https://gradwiki.math.ucr.edu/index.php?title=Andy%27s_practice_page&amp;diff=351&amp;oldid=prev</id>
		<title>Andrew Walker: /* Limits */</title>
		<link rel="alternate" type="text/html" href="https://gradwiki.math.ucr.edu/index.php?title=Andy%27s_practice_page&amp;diff=351&amp;oldid=prev"/>
		<updated>2015-04-10T20:48:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Limits&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:48, 10 April 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot; &gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span style=&amp;quot;font-size:135%&amp;quot;&amp;gt;&amp;lt;font face=Times Roman&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span style=&amp;quot;font-size:135%&amp;quot;&amp;gt;&amp;lt;font face=Times Roman&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;009A_Sample_Final_A&lt;/del&gt;,_Problem_1|'''Problem 1.''']] Find the following limits:&amp;lt;br&amp;gt;&amp;amp;nbsp;&amp;amp;nbsp; (a) &amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -45%;&amp;quot;&amp;gt;\lim_{x\rightarrow0}\frac{\tan(3x)}{x^{3}}.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;010A_Sample_Final_A&lt;/ins&gt;,_Problem_1|'''Problem 1.''']] Find the following limits:&amp;lt;br&amp;gt;&amp;amp;nbsp;&amp;amp;nbsp; (a) &amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -45%;&amp;quot;&amp;gt;\lim_{x\rightarrow0}\frac{\tan(3x)}{x^{3}}.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;amp;nbsp;&amp;amp;nbsp; (b)  &amp;lt;math style=&amp;quot;vertical-align: -52%;&amp;quot;&amp;gt;\lim_{x\rightarrow-\infty}\frac{\sqrt{x^{6}+6x^{2}+2}}{x^{3}+x-1}.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;amp;nbsp;&amp;amp;nbsp; (b)  &amp;lt;math style=&amp;quot;vertical-align: -52%;&amp;quot;&amp;gt;\lim_{x\rightarrow-\infty}\frac{\sqrt{x^{6}+6x^{2}+2}}{x^{3}+x-1}.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Andrew Walker</name></author>
	</entry>
	<entry>
		<id>https://gradwiki.math.ucr.edu/index.php?title=Andy%27s_practice_page&amp;diff=350&amp;oldid=prev</id>
		<title>Andrew Walker: Created page with &quot;== Limits ==  &lt;span style=&quot;font-size:135%&quot;&gt;&lt;font face=Times Roman&gt; '''Problem 1.''' Find the following limits:&lt;br&gt;&amp;nbsp;&amp;nbsp; (a) &amp;nbsp; &lt;m...&quot;</title>
		<link rel="alternate" type="text/html" href="https://gradwiki.math.ucr.edu/index.php?title=Andy%27s_practice_page&amp;diff=350&amp;oldid=prev"/>
		<updated>2015-04-10T20:40:27Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Limits ==  &amp;lt;span style=&amp;quot;font-size:135%&amp;quot;&amp;gt;&amp;lt;font face=Times Roman&amp;gt; &lt;a href=&quot;/index.php?title=009A_Sample_Final_A,_Problem_1&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;009A Sample Final A, Problem 1 (page does not exist)&quot;&gt;&amp;#039;&amp;#039;&amp;#039;Problem 1.&amp;#039;&amp;#039;&amp;#039;&lt;/a&gt; Find the following limits:&amp;lt;br&amp;gt;   (a)   &amp;lt;m...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Limits ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span style=&amp;quot;font-size:135%&amp;quot;&amp;gt;&amp;lt;font face=Times Roman&amp;gt;&lt;br /&gt;
[[009A_Sample_Final_A,_Problem_1|'''Problem 1.''']] Find the following limits:&amp;lt;br&amp;gt;&amp;amp;nbsp;&amp;amp;nbsp; (a) &amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -45%;&amp;quot;&amp;gt;\lim_{x\rightarrow0}\frac{\tan(3x)}{x^{3}}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;amp;nbsp;&amp;amp;nbsp; (b)  &amp;lt;math style=&amp;quot;vertical-align: -52%;&amp;quot;&amp;gt;\lim_{x\rightarrow-\infty}\frac{\sqrt{x^{6}+6x^{2}+2}}{x^{3}+x-1}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;amp;nbsp;&amp;amp;nbsp; (c) &amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -65%;&amp;quot;&amp;gt;\lim_{x\rightarrow3}\frac{x-3}{\sqrt{x+1}-2}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;amp;nbsp;&amp;amp;nbsp; (d) &amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -65%;&amp;quot;&amp;gt;\lim_{x\rightarrow3}\frac{x-1}{\sqrt{x+1}-1}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;amp;nbsp;&amp;amp;nbsp; (e)&amp;amp;nbsp; &amp;lt;math style=&amp;quot;vertical-align: -50%;&amp;quot;&amp;gt;\lim_{x\rightarrow\infty}\frac{5x^{2}-2x+3}{1-3x^{2}}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;/font face=Times Roman&amp;gt; &amp;lt;/span&amp;gt;&lt;/div&gt;</summary>
		<author><name>Andrew Walker</name></author>
	</entry>
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