📄 sxsy05_17.mht
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<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:top'><span style=3D'font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>(一)求极限</span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span style=3D'font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>计算函数极限</span><span
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>的</span><=
span
class=3DSpellE><span lang=3DEN-US>Mathematica</span></span><span style=3D'f=
ont-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>函数为:</span><span
lang=3DEN-US>Limit[f[x],x->x0]</span><span style=3D'font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>。在此基础上,还Ö=
87;以加上参数</span><span
lang=3DEN-US>Direction->1</span><span style=3D'font-family:SimSun;mso-as=
cii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>或</span><=
span
lang=3DEN-US>Direction->-1</span><span style=3D'font-family:SimSun;mso-a=
scii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>来表=
示左极限和右极限。</s=
pan></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>1</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:求极限</span><span lang=3DEN-U=
S><!--[if gte vml 1]><v:shape
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</v:shape><![endif]--><![if !vml]><img width=3D60 height=3D41
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>。</span><=
span
lang=3DEN-US><span
style=3D'mso-spacerun:yes'> =
</span></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>解:</span><span class=3DGramE><span lang=3D=
EN-US>Limit[</span></span><span
lang=3DEN-US>Sin[x]/<span class=3DSpellE>x,x</span>->0]</span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>2</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:求极限</span><span lang=3DEN-U=
S><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1027" type=3D"#_x0000_t75" style=3D'width:62.25pt;height:30.=
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o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image005.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D83 height=3D41
src=3D"sxsy05_17.files/image006.gif" v:shapes=3D"_x0000_i1027"><![endif]><!=
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>。</span><=
span
lang=3DEN-US><span
style=3D'mso-spacerun:yes'> =
</span></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>解:</span><span lang=3DEN-US>Limit[(1+α=
;/x)^(β*x),x->
</span><span style=3D'font-family:SimSun'>∞</span><span lang=3DEN-US>=
]</span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>3</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:分别计算</span><span
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</v:shape><![endif]--><![if !vml]><img width=3D107 height=3D44
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>和</span><=
span
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style=3D'width:80.25pt;height:33pt' o:ole=3D"">
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</v:shape><![endif]--><![if !vml]><img width=3D107 height=3D44
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<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>解:</span><span class=3DGramE><span lang=3D=
EN-US>Limit[</span></span><span
lang=3DEN-US>(x^2-4)/(4*x^2-7*x-2),x->Infinity]</span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;line-height:125%;vertical-=
align:
middle'><span class=3DGramE><span lang=3DEN-US>Limit[</span></span><span
lang=3DEN-US>(x^2-4)/(4*x^2-7*x-2),x->0]</span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>4</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:求极限</span><span lang=3DEN-U=
S><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1030" type=3D"#_x0000_t75" style=3D'width:32.25pt;height:30.=
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o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image011.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D43 height=3D41
src=3D"sxsy05_17.files/image012.gif" v:shapes=3D"_x0000_i1030"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>和</span><=
span
lang=3DEN-US><!--[if gte vml 1]><v:shape id=3D"_x0000_i1031" type=3D"#_x000=
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style=3D'width:32.25pt;height:30.75pt' o:ole=3D"">
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</v:shape><![endif]--><![if !vml]><img width=3D43 height=3D41
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--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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</o:OLEObject>
</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>。</span><=
span
lang=3DEN-US><span
style=3D'mso-spacerun:yes'> =
</span></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>解:</span><span class=3DGramE><span lang=3D=
EN-US>Limit[</span></span><span
lang=3DEN-US>1/x,x->0,Direction->-1]</span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;line-height:125%;vertical-=
align:
middle'><span class=3DGramE><span lang=3DEN-US>Limit[</span></span><span
lang=3DEN-US>1/x,x->0,Direction->1]</span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>5</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:观察求极限</span><=
span
lang=3DEN-US><!--[if gte vml 1]><v:shape id=3D"_x0000_i1032" type=3D"#_x000=
0_t75"
style=3D'width:45pt;height:30.75pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image015.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D60 height=3D41
src=3D"sxsy05_17.files/image016.gif" v:shapes=3D"_x0000_i1032"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>的结=
果。</span><span
lang=3DEN-US><span
style=3D'mso-spacerun:yes'> </spa=
n><span
style=3D'mso-spacerun:yes'> </span></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>解:</span><span
class=3DGramE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-he=
ight:125%'>Limit[</span></span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>Sin[1/x],=
x->0]<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span style=3D'mso-bidi-font-size:1=
0.5pt;
line-height:125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>系统回应&#=
65306;</span><span
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