<?xml version="1.0"?>
<div class="add">

<a NAME="E1:26_1_1"/>
<font color="Maroon" title="c3">h</font> <a href="seqm_3.html#K1" title="SEQM_3:func.1">^\</a> <font color="Maroon" title="c4">n</font> is <a href="fdiff_1.html#V1" title="FDIFF_1:attr.1">convergent_to_0</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="26_1_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:26_1_1_1"/><i><font color="Green" title="E17">A1</font></i>: 
( <font color="Maroon" title="c3">h</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a>  &amp; <font color="Maroon" title="c3">h</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a> &amp;  <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <font color="Maroon" title="c3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="fdiff_1.html#D1" target="_self" title="FDIFF_1:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E2:26_1_1_1"/>
<font color="Maroon" title="c3">h</font> <a href="seqm_3.html#K1" title="SEQM_3:func.1">^\</a> <font color="Maroon" title="c4">n</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a> 
 <b>by </b><i><a class="ref" href="seqm_3.html#T40" title="SEQM_3:th.40">SEQM_3:40</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="fdiff_1.html#D1" target="_self" title="FDIFF_1:def.1">FDIFF_1:def 1</a><br/>

<b>thus </b><a NAME="E3:26_1_1_1"/>
( <font color="Maroon" title="c3">h</font> <a href="seqm_3.html#K1" title="SEQM_3:func.1">^\</a> <font color="Maroon" title="c4">n</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a> &amp;  <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">h</font> <a href="seqm_3.html#K1" title="SEQM_3:func.1">^\</a> <font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 <b>by </b><i><a class="txt" href="fdiff_1.html#E1:26_1_1_1"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="seq_4.html#T33" title="SEQ_4:th.33">SEQ_4:33</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:26_1_1"/>
<font color="Maroon" title="c3">h</font> <a href="seqm_3.html#K1" title="SEQM_3:func.1">^\</a> <font color="Maroon" title="c4">n</font> is <a href="fdiff_1.html#V1" title="FDIFF_1:attr.1">convergent_to_0</a>
 ;<br/>


</div>
