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<div><span class="kw">theorem </span><a NAME="T88"><span class="comment"><font color="firebrick">:: ASYMPT_1:88</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st (  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b1">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="power.html#K3" title="POWER:func.3">log</a> (2,<span class="p1">(<span class="default"><font color="Olive" title="b2">n</font> <a href="newton.html#K7" title="NEWTON:func.7">!</a></span>)</span>) ) holds <br/> for <font color="Olive" title="b2">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds  <font color="Olive" title="b1">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="series_1.html#K6" title="SERIES_1:func.6">Sum</a> (<a href="asympt_1.html#K2" title="ASYMPT_1:func.2">seq_logn</a>,<font color="Olive" title="b2">n</font>) <span class="kw">by</span> <span class="lab"><a class="txt" href="asympt_1.html#E83"><span class="lab"><font color="Green" title="E51">Lm44</font></span></a></span>;<br/></div></div>
