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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: ASYMPT_0:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="asympt_0.html#V2" title="ASYMPT_0:attr.2">eventually-nonnegative</a>  <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">f</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  holds <br/> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <font color="Olive" title="b1">f</font></div></div>
