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

<b>assume </b><a NAME="E1:32"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">s</font> is <a href="comseq_2.html#V2" target="_self">convergent</a>
 ;<br/>

 <a href="comseq_2.html#K2" target="_self">lim</a> <span class="p1">(<span class="default"><a href="comseq_1.html#K5">-</a> <font color="Maroon">s</font></span>)</span> = 
 <a href="comseq_2.html#K2" target="_self">lim</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <a href="complex1.html#K6">1r</a> </span>)</span> <a href="comseq_1.html#K4">(#)</a> <font color="Maroon">s</font></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T14">COMSEQ_1:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="complex1.html#D7">COMPLEX1:def 7</a></i>
<br/>.= 
 <a href="complex1.html#K10">-</a> <span class="p1">(<span class="default"><a href="complex1.html#K6">1r</a>  <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex1.html#D7">COMPLEX1:def 7</a></i>
;<br/>
<b>hence </b><a NAME="E3:32"/>
 <a href="comseq_2.html#K2" target="_self">lim</a> <span class="p1">(<span class="default"><a href="comseq_1.html#K5">-</a> <font color="Maroon">s</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K10">-</a> <span class="p1">(<span class="default"><a href="comseq_2.html#K2" target="_self">lim</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="complex1.html#D7">COMPLEX1:def 7</a></i>;<br/>


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