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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="E1:56"/><i><font color="Green" title="E34">A1</font></i>: 
( <font color="Maroon" title="c2">seq</font> is <a href="seqm_3.html#V1" title="SEQM_3:attr.1">increasing</a> &amp; not <font color="Maroon" title="c2">seq</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">bounded_above</a> )
 ;<br/>

<a NAME="E2:56"/><b>then </b>
<font color="Maroon" title="c2">seq</font> is <a href="seqm_3.html#V3" title="SEQM_3:attr.3">non-decreasing</a>
 
<b>by </b><i><a class="ref" href="seqm_3.html#T23" title="SEQM_3:th.23">SEQM_3:23</a></i>;<br/>
<b>hence </b><a NAME="E3:56"/>
<font color="Maroon" title="c2">seq</font> is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:56"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="limfunc1.html#T56" target="_self" title="LIMFUNC1:th.56">Th56</a></i>;<br/>


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