<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Math on Yaohong</title><link>https://yh.timefriend.vip/tags/math/</link><description>Recent content in Math on Yaohong</description><generator>Hugo</generator><language>en-us</language><lastBuildDate>Thu, 29 Oct 2020 07:57:20 +0800</lastBuildDate><atom:link href="https://yh.timefriend.vip/tags/math/index.xml" rel="self" type="application/rss+xml"/><item><title>Understand limits to infinity</title><link>https://yh.timefriend.vip/post/math/limitstoinfinity/</link><pubDate>Thu, 29 Oct 2020 07:57:20 +0800</pubDate><guid>https://yh.timefriend.vip/post/math/limitstoinfinity/</guid><description>&lt;h1 id="understanding-limits-to-infinity"&gt;Understanding limits to infinity&lt;/h1&gt;&#10;&lt;p&gt;When &lt;code&gt;x-&amp;gt;∞&lt;/code&gt;, what is the exact number of x?&lt;/p&gt;&#10;&lt;p&gt;We don&amp;rsquo;t know, x is undefined.&lt;/p&gt;&#10;&lt;p&gt;&lt;code&gt;∞&lt;/code&gt; is not a number, is a idea of having a greater number than you give.&lt;/p&gt;&#10;&lt;p&gt;When &lt;code&gt;x-&amp;gt;∞&lt;/code&gt;, &lt;code&gt;1/x&lt;/code&gt; appoachs zero, but is never equal zero!&lt;/p&gt;&#10;&lt;p&gt;When &lt;code&gt;n -&amp;gt; ∞&lt;/code&gt;, does &lt;code&gt;sin(1/n) / (1/n)&lt;/code&gt; have meaning?&lt;/p&gt;&#10;&lt;p&gt;I used to thought &lt;code&gt;1/n = 0&lt;/code&gt; while &lt;code&gt;n-&amp;gt;∞&lt;/code&gt;, but 0 cannot be divided, So I was confused.&lt;/p&gt;</description></item></channel></rss>