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<b>let </b><font color="Maroon">f</font> be  <a href="asympt_0.html#V4" target="_self">eventually-positive</a> <a href="seq_1.html#NM1">Real_Sequence</a>, <font color="Maroon">g</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><b>that </b><br/><a NAME="E1:48"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">f</font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">g</font> is <a href="seq_2.html#V4">convergent</a>
 <b>and </b><br/><a NAME="E2:48"/><i><font color="Green">E40</font></i>: 
 <a href="seq_2.html#K2">lim</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">g</font></span>)</span> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<a NAME="E3:48"/>
( <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K9" target="_self">Big_Oh</a> <font color="Maroon">g</font> &amp; not <font color="Maroon">g</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K9" target="_self">Big_Oh</a> <font color="Maroon">f</font> )
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E4:48"/>
( <font color="Maroon">g</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K10" target="_self">Big_Omega</a> <font color="Maroon">f</font> &amp; not <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K10" target="_self">Big_Omega</a> <font color="Maroon">g</font> )
 <b>by </b><i/>;<br/>


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