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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="asympt_0.html#V4" target="_self">eventually-positive</a> <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:49"/>
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">c<sub>2</sub></font> is <a href="limfunc1.html#V1">divergent_to+infty</a>
 ;<br/>

<a NAME="E2:49"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V4">convergent</a> &amp;  <a href="seq_2.html#K2">lim</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="asympt_0.html#T5" target="_self">Th5</a></i>;<br/>
<b>hence </b><a NAME="E3:49"/>
( not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K10" target="_self">Big_Omega</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K10" target="_self">Big_Omega</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="ref" href="asympt_0.html#T23" target="_self">Th23</a></i>;<br/>


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