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<b>let </b><font color="Maroon">X</font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">seq</font> be   <a href="normsp_1.html#NM2">sequence</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><a NAME="E1:18"/>
<font color="Maroon">seq</font> is <a href="bhsp_2.html#V1" target="_self">convergent</a>
 ;<br/>

<a NAME="E2:18"/><b>then </b>
 <a href="bhsp_2.html#K1" target="_self">lim</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="normsp_1.html#K6">*</a> <font color="Maroon">seq</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><a href="bhsp_2.html#K1" target="_self">lim</a> <font color="Maroon">seq</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:18"/><b>then </b>
 <a href="bhsp_2.html#K1" target="_self">lim</a> <span class="p1">(<span class="default"><a href="bhsp_1.html#K6">-</a> <font color="Maroon">seq</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><a href="bhsp_2.html#K1" target="_self">lim</a> <font color="Maroon">seq</font></span>)</span>
 
<b>by </b><i><a class="ref" href="bhsp_1.html#T77">BHSP_1:77</a></i>;<br/>
<b>hence </b><a NAME="E4:18"/>
 <a href="bhsp_2.html#K1" target="_self">lim</a> <span class="p1">(<span class="default"><a href="bhsp_1.html#K6">-</a> <font color="Maroon">seq</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="bhsp_2.html#K1" target="_self">lim</a> <font color="Maroon">seq</font></span>)</span>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T29">RLVECT_1:29</a></i>;<br/>


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