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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: LIMFUNC1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">seq</font> is  <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a>  &amp;  not <font color="Olive" title="b1">seq</font> is  <a href="seq_2.html#V1" title="SEQ_2:attr.1">bounded_above</a>  holds <br/><font color="Olive" title="b1">seq</font> is  <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="limfunc1.html#T29" target="_self" onmouseover="rs('limfunc1/T29')" onmouseout="rh()">Th29</a></span>;<br/></div></div>
