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<pre class="de1" style="font-family: monospace, monospace; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-top-style: none; border-right-style: none; border-bottom-style: none; border-left-style: none; border-top-color: white; border-right-color: white; border-bottom-color: white; border-left-color: white; color: black; background-color: initial; line-height: normal; font: normal normal normal 1em/1.2em monospace; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; background-image: none; background-attachment: initial; background-origin: initial; background-clip: initial; vertical-align: top; background-position: initial initial; background-repeat: initial initial; "> <math>

   <span class="re12" style="color: rgb(128, 0, 0); font-weight: normal; ">\operatorname</span><span class="sy0" style="color: rgb(224, 32, 32); ">{</span><span class="re9" style="color: rgb(32, 32, 192); font-weight: normal; ">erfc<span class="sy0" style="color: rgb(224, 32, 32); ">}</span>(x) =

   <span class="sy0" style="color: rgb(224, 32, 32); ">\</span><span class="kw1" style="color: rgb(128, 0, 0); ">frac</span><span class="sy0" style="color: rgb(224, 32, 32); ">{</span>2<span class="sy0" style="color: rgb(224, 32, 32); ">}{</span><span class="re12" style="color: rgb(128, 0, 0); font-weight: normal; ">\sqrt</span><span class="sy0" style="color: rgb(224, 32, 32); ">{</span><span class="re12" style="color: rgb(128, 0, 0); font-weight: normal; ">\pi</span><span class="sy0" style="color: rgb(224, 32, 32); ">}}</span> <span class="sy0" style="color: rgb(224, 32, 32); ">\</span><span class="kw1" style="color: rgb(128, 0, 0); ">int</span>_x^<span class="sy0" style="color: rgb(224, 32, 32); ">{\</span><span class="kw1" style="color: rgb(128, 0, 0); ">infty</span><span class="sy0" style="color: rgb(224, 32, 32); ">}</span> e^<span class="sy0" style="color: rgb(224, 32, 32); ">{</span>-t^2<span class="sy0" style="color: rgb(224, 32, 32); ">}\</span>,dt =

   <span class="sy0" style="color: rgb(224, 32, 32); ">\</span><span class="kw1" style="color: rgb(128, 0, 0); ">frac</span><span class="sy0" style="color: rgb(224, 32, 32); ">{</span>e^<span class="sy0" style="color: rgb(224, 32, 32); ">{</span>-x^2<span class="sy0" style="color: rgb(224, 32, 32); ">}}{</span>x<span class="re12" style="color: rgb(128, 0, 0); font-weight: normal; ">\sqrt</span><span class="sy0" style="color: rgb(224, 32, 32); ">{</span><span class="re12" style="color: rgb(128, 0, 0); font-weight: normal; ">\pi</span><span class="sy0" style="color: rgb(224, 32, 32); ">}}\</span><span class="kw1" style="color: rgb(128, 0, 0); ">sum</span>_<span class="sy0" style="color: rgb(224, 32, 32); ">{</span>n=0<span class="sy0" style="color: rgb(224, 32, 32); ">}</span>^<span class="sy0" style="color: rgb(224, 32, 32); ">\</span><span class="kw1" style="color: rgb(128, 0, 0); ">infty</span> (-1)^n <span class="sy0" style="color: rgb(224, 32, 32); ">\</span><span class="kw1" style="color: rgb(128, 0, 0); ">frac</span>{(2n)!}{n!(2x)^{2n}</span><span class="sy0" style="color: rgb(224, 32, 32); ">}</span>

  </math></pre>