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<b>let </b><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><a NAME="E1:65"/><i><font color="Green" title="E39">A1</font></i>: 
( <font color="Maroon" title="c2">seq</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a>  &amp; <font color="Maroon" title="c2">seq</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a> &amp;  <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <font color="Maroon" title="c2">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 &amp; <font color="Maroon" title="c2">seq</font> is <a href="seqm_3.html#V2" title="SEQM_3:attr.2">decreasing</a> )
 ;<br/>

<a NAME="E2:65"/><b>then </b>
<font color="Maroon" title="c2">seq</font> is <a href="seqm_3.html#V4" title="SEQM_3:attr.4">non-increasing</a>
 
<b>by </b><i><a class="ref" href="seqm_3.html#T24" title="SEQM_3:th.24">SEQM_3:24</a></i>;<br/>
<b>hence </b><a NAME="E3:65"/>
<font color="Maroon" title="c2">seq</font> <a href="seq_1.html#K18" title="SEQ_1:func.18">"</a>  is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:65"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="limfunc1.html#T65" target="_self" title="LIMFUNC1:th.65">Th65</a></i>;<br/>


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