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<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DEN-US>ans=3D1+m*x+1/2*m*(m-1)*x^2+1/6*m*(m-1)*(m-2)*x^3+1/24*m*(m-1)=
*(m-2)*(m-3)*x^4</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><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"'>：将函数</span><span lang=3DEN-U=
S><sub><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1036" type=3D"#_x0000_t75" style=3D'width:90pt;height:30.75p=
t' o:ole=3D"">
<v:imagedata src=3D"sy12.files/image022.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D120 height=3D41
src=3D"sy12.files/image023.gif" v:shapes=3D"_x0000_i1036"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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DrawAspect=3D"Content" ObjectID=3D"_1220424320">
</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"'>展开=
为</span><span
lang=3DEN-US><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1037" type=3D"#=
_x0000_t75"
style=3D'width:35.25pt;height:15.75pt' o:ole=3D"">
<v:imagedata src=3D"sy12.files/image024.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D47 height=3D21
src=3D"sy12.files/image025.gif" v:shapes=3D"_x0000_i1037"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
037"
DrawAspect=3D"Content" ObjectID=3D"_1220424321">
</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"'>的幂=
级数。</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span style=3D'=
font-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>解：</span><span
lang=3DEN-US>Matlab</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>程序=
为：</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DEN-US>clear</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DEN-US>syms x</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DEN-US>f=3D1/(x^2+5*x-3);</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><st1:place
w:st=3D"on"><st1:City w:st=3D"on"><span lang=3DEN-US>taylor</span></st1:Cit=
y></st1:place><span
lang=3DEN-US>(f,5,x,2)</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DEN-US>pretty(ans)</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span style=3D'=
font-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>结果为：</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span lang=3DEN=
-US>ans
=3D29/121-9/121*x+70/1331*(x-2)^2-531/14641*(x-2)^3+4009/161051*(x-2)^4</sp=
an></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;line-height:10.0=
pt;
mso-line-height-rule:exactly'><span lang=3DEN-US><span
style=3D'mso-spacerun:yes'> </span>29<s=
pan
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span>70<span
style=3D'mso-spacerun:yes'> </span>2<span
style=3D'mso-spacerun:yes'> </span>531<span
style=3D'mso-spacerun:yes'> </span>3<span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span>4009<span
style=3D'mso-spacerun:yes'> </span>4</s=
pan></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;line-height:10.0=
pt;
mso-line-height-rule:exactly'><span lang=3DEN-US><span
style=3D'mso-spacerun:yes'> </span>----=
- -
9/121 x + ------ (x - 2)<span style=3D'mso-spacerun:yes'> </span>- --=
-----
(x - 2)<span style=3D'mso-spacerun:yes'> </span>+ ---------- (x - 2)<=
/span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;line-height:10.0=
pt;
mso-line-height-rule:exactly'><span lang=3DEN-US><span
style=3D'mso-spacerun:yes'> </span>121<=
span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> </span>1331<span
style=3D'mso-spacerun:yes'>
</span>14641<span
style=3D'mso-spacerun:yes'> </spa=
n><span
style=3D'mso-spacerun:yes'> </span>161051</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><b style=3D'mso=
-bidi-font-weight:
normal'><span style=3D'font-family:SimSun;mso-ascii-font-family:"Times New =
Roman";
mso-hansi-font-family:"Times New Roman"'>三、实验&#=
20869;容</span><span
lang=3DEN-US><o:p></o:p></span></b></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><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"'>．求级数</span><span lang=3DEN-U=
S><sub><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1038" type=3D"#_x0000_t75" style=3D'width:42.75pt;height:33.=
75pt'
o:ole=3D"">
<v:imagedata src=3D"sy12.files/image026.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D57 height=3D45
src=3D"sy12.files/image027.gif" v:shapes=3D"_x0000_i1038"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
038"
DrawAspect=3D"Content" ObjectID=3D"_1220424322">
</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"'>的和=
。</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><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"'>．求级数</span><span lang=3DEN-U=
S><sub><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1039" type=3D"#_x0000_t75" style=3D'width:30.75pt;height:35.=
25pt'
o:ole=3D"">
<v:imagedata src=3D"sy12.files/image028.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D41 height=3D47
src=3D"sy12.files/image029.gif" v:shapes=3D"_x0000_i1039"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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DrawAspect=3D"Content" ObjectID=3D"_1220424323">
</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"'>的和=
。</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><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"'>．将函数</span><span lang=3DEN-U=
S><sub><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1040" type=3D"#_x0000_t75" style=3D'width:27pt;height:11.25p=
t' o:ole=3D"">
<v:imagedata src=3D"sy12.files/image030.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D36 height=3D15
src=3D"sy12.files/image031.gif" v:shapes=3D"_x0000_i1040"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
040"
DrawAspect=3D"Content" ObjectID=3D"_1220424324">
</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"'>展开=
成</span><span
lang=3DEN-US><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1041" type=3D"#=
_x0000_t75"
style=3D'width:38.25pt;height:30.75pt' o:ole=3D"">
<v:imagedata src=3D"sy12.files/image032.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D51 height=3D41
src=3D"sy12.files/image033.gif" v:shapes=3D"_x0000_i1041"><![endif]></sub><=
!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
041"
DrawAspect=3D"Content" ObjectID=3D"_1220424325">
</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"'>的幂=
级数，取前</span><span
lang=3DEN-US>10</span><span style=3D'font-family:SimSun;mso-ascii-font-fami=
ly:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>项。</span></p>
<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><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"'>．完成实验报告=
。</span></p>
</div>
</body>
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