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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:16"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V4" target="_self">convergent</a>
 ;<br/>

<a NAME="E2:16"/><b>then </b>
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K14">(#)</a> <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V4" target="_self">convergent</a>
 
<b>by </b><i><a class="ref" href="seq_2.html#T21" target="_self">Th21</a></i>;<br/>
<b>hence </b><a NAME="E3:16"/>
 <a href="seq_1.html#K17">-</a> <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V4" target="_self">convergent</a>
 <b>by </b><i><a class="ref" href="seq_1.html#T25">SEQ_1:25</a></i>;<br/>


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