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<div><span class="kw">theorem </span><a NAME="T62"><span class="comment"><font color="firebrick">:: ASYMPT_1:62</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="asympt_0.html#V1" title="ASYMPT_0:attr.1">logbase</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 &amp; <font color="Olive" title="b2">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; (  for <font color="Olive" title="b3">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>   st <font color="Olive" title="b3">n</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><font color="Olive" title="b2">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="power.html#K3" title="POWER:func.3">log</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">n</font>) ) holds <br/><font color="Olive" title="b2">f</font> is  <a href="asympt_0.html#V4" title="ASYMPT_0:attr.4">eventually-positive</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="asympt_1.html#E4"><span class="lab"><font color="Green" title="E2">Lm2</font></span></a></span>;<br/></div></div>
