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<b>let </b><font color="Maroon" title="c1">seq'</font>, <font color="Maroon" title="c2">seq</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:29"/><i><font color="Green" title="E25">A1</font></i>: 
<font color="Maroon" title="c1">seq'</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 <b>and </b><br/><a NAME="E2:29"/><i><font color="Green" title="E26">A2</font></i>: 
<font color="Maroon" title="c2">seq</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 <b>and </b><br/><a NAME="E3:29"/><i><font color="Green" title="E27">A3</font></i>: 
 <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <font color="Maroon" title="c2">seq</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>and </b><br/><a NAME="E4:29"/><i><font color="Green" title="E28">A4</font></i>: 
<font color="Maroon" title="c2">seq</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a> 
 ;<br/>

<a NAME="E5:29"/>
<font color="Maroon" title="c2">seq</font> <a href="valued_1.html#K37" title="VALUED_1:func.37">"</a>  is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 
<b>by </b><i><a class="txt" href="seq_2.html#E2:29"><i><font color="Green" title="E26">A2</font></i></a>, <a class="txt" href="seq_2.html#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="seq_2.html#E4:29"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="seq_2.html#T35" target="_self" title="SEQ_2:th.35">Th35</a></i>;<br/>
<b>hence </b><a NAME="E6:29"/>
<font color="Maroon" title="c1">seq'</font> <a href="valued_1.html#K52" title="VALUED_1:func.52">/"</a> <font color="Maroon" title="c2">seq</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 <b>by </b><i><a class="txt" href="seq_2.html#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="seq_2.html#T28" target="_self" title="SEQ_2:th.28">Th28</a></i>;<br/>


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