<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">s</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:49"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">s</font> is <a href="comseq_2.html#V2" target="_self">convergent</a> &amp;  <a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="complex1.html#K5">0c</a>  &amp; <font color="Maroon">s</font> is <a href="comseq_1.html#V1">non-zero</a> )
 ;<br/>

<a NAME="E2:49"/><b>then </b>
<font color="Maroon">s</font> <a href="comseq_1.html#K7">"</a>  is <a href="comseq_2.html#V2" target="_self">convergent</a>
 
<b>by </b><i/>;<br/>
<b>hence </b> <a href="comseq_2.html#K2" target="_self">lim</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="comseq_1.html#K7">"</a> </span>)</span> <a href="comseq_2.html#K1" target="_self">*'</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="comseq_1.html#K7">"</a> </span>)</span></span>)</span> <a href="complex1.html#K15">*'</a> 
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font></span>)</span> <a href="complex1.html#K12">"</a> </span>)</span> <a href="complex1.html#K15">*'</a> 
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font></span>)</span> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K12">"</a> 
<b>by </b><i><a class="ref" href="complex1.html#T122">COMPLEX1:122</a></i>
;<br/><br/>


</div>
