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<a NAME="E1:52_1_1"/>
<font color="Maroon">h</font> <a href="lopban_3.html#K3">^\</a> <font color="Maroon">n</font> is <a href="ndiff_1.html#V2" target="_self">convergent_to_0</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="52_1_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:52_1_1_1"/><i><font color="Green">E43</font></i>: 
( <font color="Maroon">h</font> <a href="ndiff_1.html#NR1" target="_self">is_not_0</a>  &amp; <font color="Maroon">h</font> is <a href="normsp_1.html#V4">convergent</a> &amp;  <a href="normsp_1.html#K8">lim</a> <font color="Maroon">h</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:52_1_1_1"/>
<font color="Maroon">h</font> <a href="lopban_3.html#K3">^\</a> <font color="Maroon">n</font> <a href="ndiff_1.html#NR1" target="_self">is_not_0</a> 
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="ndiff_1.html#D4" target="_self">NDIFF_1:def 4</a><br/>

<b>thus </b><a NAME="E3:52_1_1_1"/>
( <font color="Maroon">h</font> <a href="lopban_3.html#K3">^\</a> <font color="Maroon">n</font> is <a href="normsp_1.html#V4">convergent</a> &amp;  <a href="normsp_1.html#K8">lim</a> <span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="lopban_3.html#K3">^\</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font> )
 <b>by </b><i>, <a class="ref" href="lopban_3.html#T14">LOPBAN_3:14</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:52_1_1"/>
<font color="Maroon">h</font> <a href="lopban_3.html#K3">^\</a> <font color="Maroon">n</font> is <a href="ndiff_1.html#V2" target="_self">convergent_to_0</a>
 ;<br/>


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