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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="E1:62"/><i><font color="Green" title="E38">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#V3" title="SEQM_3:attr.3">non-decreasing</a> )
 ;<br/>

<a NAME="E2:62"/><b>then </b>
for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st 0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">n</font> holds <br/><font color="Maroon" title="c2">seq</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> 0
 
<b>by </b><i><a class="ref" href="limfunc1.html#T27" target="_self" title="LIMFUNC1:th.27">Th27</a></i>;<br/>
<b>hence </b><a NAME="E3:62"/>
<font color="Maroon" title="c2">seq</font> <a href="seq_1.html#K18" title="SEQ_1:func.18">"</a>  is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:62"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="limfunc1.html#T63" target="_self" title="LIMFUNC1:th.63">Th63</a></i>;<br/>


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