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📄 第二节 用mathematica求极限和求微分.htm

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lang=EN-US>4</SPAN><SPAN         
style="mso-hansi-font-family: Times New Roman; mso-ascii-font-family: Times New Roman">)</SPAN><SPAN         
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<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;</SPAN>(6) <SPAN           
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style="mso-spacerun: yes"><b><font face="宋体"><font size="4">&nbsp;</font></font></b></SPAN><font face="宋体"><b><font size="4">(7) <SPAN           
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<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;</SPAN>(8) <SPAN           
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<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;</SPAN>(9) <SPAN           
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<P align=left class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><b><font face="宋体" size="4">(10)           
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<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN>(11) <SPAN           
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<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;</SPAN>(12)<SPAN           
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o:title=""          
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style="mso-hansi-font-family: Times New Roman; mso-ascii-font-family: Times New Roman"><font face="宋体" size="4">解:</font></SPAN></b></P>        
<P align=left class=MsoNormal style="line-height: 200%"><b><font size="4">(1)</font><font face="Times New Roman" size="4"><SPAN        
lang=EN-US>In[1]:=Limit[(1 - 2x)^(1/x), x -&gt; 0]</SPAN></font></b></P>         
<P align=left class=MsoNormal style="line-height: 200%"><SPAN          
lang=EN-US><b><font face="Times New Roman" size="4">&nbsp;&nbsp; Out[1]=<SPAN         
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style="HEIGHT: 30.75pt; WIDTH: 17.25pt" o:ole="" type="#_x0000_t75">        
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v:shapes="_x0000_i1046" width="17" height="34"></SPAN><!--[if gte mso 9]><xml>       
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lang=EN-US><b><font face="Times New Roman" size="4">(2)In[2]:=Limit[Sin[x - Pi/3]/(1 - 2Cos[x]), x -&gt; Pi/3]</font></b></SPAN></P>         
<P align=left class=MsoNormal style="line-height: 200%"><SPAN          
lang=EN-US><b><font face="Times New Roman" size="4">&nbsp;&nbsp; Out[2]=<SPAN         
style="mso-text-raise: -14.0pt"><!--[if gte vml 1]><V:SHAPE id=_x0000_i1047        
style="HEIGHT: 33pt; WIDTH: 20.25pt" o:ole="" type="#_x0000_t75"> <V:IMAGEDATA        
o:title=""        
src="file:///C:/WINDOWS/TEMP/msoclip1/01/clip_image040.wmz"></V:SHAPE><![endif]--><IMG src="images/2.htm38.gif"        
v:shapes="_x0000_i1047" width="27" height="44"></SPAN><!--[if gte mso 9]><xml>       
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<P align=left class=MsoNormal style="line-height: 200%"><SPAN lang=EN-US><b><font face="Times New Roman" size="4">(3)<SPAN        
style="mso-spacerun: yes">&nbsp; </SPAN>In[3]:=Limit[(x^2 - 1)/(2x^2 - x - 1), x           

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