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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>



<b>assume </b><a NAME="E1:41"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V2">bounded_below</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="limfunc1.html#V2" target="_self">divergent_to-infty</a> )
 ;<br/>

<i><font color="Green">E25</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K14">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="seq_1.html#K9">+</a> <font color="Maroon">c<sub>1</sub></font> = 
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K9">+</a> <span class="p1">(<span class="default"><a href="seq_1.html#K17">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="seq_1.html#T25">SEQ_1:25</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K10">-</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="seq_1.html#T15">SEQ_1:15</a></i>
;<br/>
<a NAME="E3:41"/>
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K14">(#)</a> <font color="Maroon">c<sub>2</sub></font> is <a href="limfunc1.html#V1" target="_self">divergent_to+infty</a>
 
<b>by </b><i><a class="txt" href="limfunc1.html#E1:41"><i><font color="Green">E24</font></i></a>, <a class="ref" href="limfunc1.html#T41" target="_self">Th41</a></i>;<br/>
<b>hence </b><a NAME="E4:41"/>
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K10">-</a> <font color="Maroon">c<sub>2</sub></font> is <a href="limfunc1.html#V1" target="_self">divergent_to+infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:41"><i><font color="Green">E24</font></i></a>, <a class="txt" href="limfunc1.html#E2:41"><i><font color="Green">E25</font></i></a>, <a class="ref" href="limfunc1.html#T36" target="_self">Th36</a></i>;<br/>


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