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	<id>https://calculus.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=Video%3ARules_for_determining_interval_of_convergence</id>
	<title>Video:Rules for determining interval of convergence - Revision history</title>
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	<updated>2026-05-23T20:20:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://calculus.subwiki.org/w/index.php?title=Video:Rules_for_determining_interval_of_convergence&amp;diff=2237&amp;oldid=prev</id>
		<title>Vipul at 21:31, 22 December 2012</title>
		<link rel="alternate" type="text/html" href="https://calculus.subwiki.org/w/index.php?title=Video:Rules_for_determining_interval_of_convergence&amp;diff=2237&amp;oldid=prev"/>
		<updated>2012-12-22T21:31:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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 21:31, 22 December 2012&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-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;{{perspectives}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;{{perspectives}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The videos are all taken from the following playlist. Watching the playlist on YouTube might be a better viewing experience:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [https://www.youtube.com/playlist?list=PLC0bHnWu122kEe5nLrDoGL2y7XG-yQX-H&amp;amp;feature=view_all Rules for determining interval of convergence] (6 videos)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;==Statement==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;==Statement==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;(see first video below)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;(see first video below)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
	<entry>
		<id>https://calculus.subwiki.org/w/index.php?title=Video:Rules_for_determining_interval_of_convergence&amp;diff=2235&amp;oldid=prev</id>
		<title>Vipul: Created page with &quot;{{perspectives}} ==Statement== (see first video below) ==Explanation== (see first video below) ==Hierarchy of functions== ===List of functions=== (see first video below) ===In...&quot;</title>
		<link rel="alternate" type="text/html" href="https://calculus.subwiki.org/w/index.php?title=Video:Rules_for_determining_interval_of_convergence&amp;diff=2235&amp;oldid=prev"/>
		<updated>2012-12-22T21:30:30Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{perspectives}} ==Statement== (see first video below) ==Explanation== (see first video below) ==Hierarchy of functions== ===List of functions=== (see first video below) ===In...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{perspectives}}&lt;br /&gt;
==Statement==&lt;br /&gt;
(see first video below)&lt;br /&gt;
==Explanation==&lt;br /&gt;
(see first video below)&lt;br /&gt;
==Hierarchy of functions==&lt;br /&gt;
===List of functions===&lt;br /&gt;
(see first video below)&lt;br /&gt;
===Interaction between functions===&lt;br /&gt;
(see first video below)&lt;br /&gt;
===Remember that all these are functions in &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt;===&lt;br /&gt;
(see first video below)&lt;br /&gt;
==Determination of interval of convergence==&lt;br /&gt;
===Superexponential growth and decay===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=zuhLBwiDmbk}}&amp;lt;/center&amp;gt;&lt;br /&gt;
===Subexponential growth and decay: degree difference test===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=RPpSbACJYaQ}}&amp;lt;/center&amp;gt;&lt;br /&gt;
===Subexponential growth and decay: degree difference test with cautionary use where exponent is a multiple of the index of summation===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=_kxLGU7LhSc}}&amp;lt;/center&amp;gt;&lt;br /&gt;
===Subexponential growth and decay: examples where the exponent is a power of the index of summation===&lt;br /&gt;
(see video above)&lt;br /&gt;
===Exponential growth or decay: degree difference test on coefficients===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=UR4V2dO_M7c}}&amp;lt;/center&amp;gt;&lt;br /&gt;
===Exponential growth or decay: cautionary use where the exponent is a multiple of the summation index===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=B-BWhBRLdd8}}&amp;lt;/center&amp;gt;&lt;br /&gt;
===Tricky examples===&lt;br /&gt;
&amp;lt;center&amp;gt;{{#widget:YouTube|id=V-9lLN3PSAo}}&amp;lt;/center&amp;gt;&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
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