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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:49"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">c<sub>2</sub></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">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="complex1.html#K5">0c</a>  &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="comseq_1.html#V1">non-zero</a> )
 ;<br/>

<a NAME="E2:49"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="comseq_1.html#K7">"</a>  is <a href="comseq_2.html#V2" target="_self">convergent</a>
 
<b>by </b><i><a class="ref" href="comseq_2.html#T34" target="_self">Th34</a></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">c<sub>2</sub></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">c<sub>2</sub></font> <a href="comseq_1.html#K7">"</a> </span>)</span></span>)</span> <a href="complex1.html#K15">*'</a> 
<b>by </b><i><a class="ref" href="comseq_2.html#T12" target="_self">Th12</a></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">c<sub>2</sub></font></span>)</span> <a href="complex1.html#K12">"</a> </span>)</span> <a href="complex1.html#K15">*'</a> 
<b>by </b><i><a class="txt" href="comseq_2.html#E1:49"><i><font color="Green">E27</font></i></a>, <a class="ref" href="comseq_2.html#T35" target="_self">Th35</a></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">c<sub>2</sub></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/>


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