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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="E1:44"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="limfunc1.html#V2" target="_self">divergent_to-infty</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="seq_2.html#V4">convergent</a> )
 ;<br/>

<a NAME="E2:44"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is <a href="seq_2.html#V3">bounded</a>
 
<b>by </b><i><a class="ref" href="seq_2.html#T27">SEQ_2:27</a></i>;<br/>
<a NAME="E3:44"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is <a href="seq_2.html#V1">bounded_above</a>
 
<b>by </b><i><a class="ref" href="seq_2.html#D5">SEQ_2:def 5</a></i>;<br/>
<b>hence </b><a NAME="E4:44"/>
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K9">+</a> <font color="Maroon">c<sub>2</sub></font> is <a href="limfunc1.html#V2" target="_self">divergent_to-infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:44"><i><font color="Green">E24</font></i></a>, <a class="ref" href="limfunc1.html#T39" target="_self">Th39</a></i>;<br/>


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