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<b>let </b><font color="Maroon" title="c2">s'</font>, <font color="Maroon" title="c3">s</font> be   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:50"/><i><font color="Green" title="E28">A1</font></i>: 
<font color="Maroon" title="c2">s'</font> is <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>
 <b>and </b><br/><a NAME="E2:50"/><i><font color="Green" title="E29">A2</font></i>: 
<font color="Maroon" title="c3">s</font> is <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>
 <b>and </b><br/><a NAME="E3:50"/><i><font color="Green" title="E30">A3</font></i>: 
 <a href="comseq_2.html#K2" title="COMSEQ_2:func.2">lim</a> <font color="Maroon" title="c3">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> 
 <b>and </b><br/><a NAME="E4:50"/><i><font color="Green" title="E31">A4</font></i>: 
<font color="Maroon" title="c3">s</font> is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 ;<br/>

<a NAME="E5:50"/>
<font color="Maroon" title="c3">s</font> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a>  is <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>
 
<b>by </b><i><a class="txt" href="comseq_2.html#E2:50"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="comseq_2.html#E3:50"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="comseq_2.html#E4:50"><i><font color="Green" title="E31">A4</font></i></a>, <a class="ref" href="comseq_2.html#T34" target="_self" title="COMSEQ_2:th.34">Th34</a></i>;<br/>
<a NAME="E6:50"/><b>then </b>
<font color="Maroon" title="c2">s'</font> <a href="comseq_1.html#K3" title="COMSEQ_1:func.3">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s</font> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a> </span>)</span> is <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>
 
<b>by </b><i><a class="txt" href="comseq_2.html#E1:50"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="comseq_2.html#T29" target="_self" title="COMSEQ_2:th.29">Th29</a></i>;<br/>
<b>hence </b><a NAME="E7:50"/>
<font color="Maroon" title="c2">s'</font> <a href="comseq_1.html#K8" title="COMSEQ_1:func.8">/"</a> <font color="Maroon" title="c3">s</font> is <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>
 <b>by </b><i><a class="ref" href="comseq_1.html#D12" title="COMSEQ_1:def.12">COMSEQ_1:def 12</a></i>;<br/>


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