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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E61">Th93</font></span>: <a NAME="T93"><span class="comment"><font color="firebrick">:: DBLSEQ_3:93</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st <font color="Olive" title="b1">f</font> is  <a href="dblseq_3.html#V2" title="DBLSEQ_3:attr.2">P-convergent_to_+infty</a>  holds <br/>(  not <font color="Olive" title="b1">f</font> is  <a href="dblseq_3.html#V3" title="DBLSEQ_3:attr.3">P-convergent_to_-infty</a>  &amp;  not <font color="Olive" title="b1">f</font> is  <a href="dblseq_3.html#V1" title="DBLSEQ_3:attr.1">P-convergent_to_finite_number</a>  )</div></div>
