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1、图 1 及其 Taylor 展开式)exp(y其中,。!43!21)( ;!)(;!21)(;)exp(4 3321 xxxPyxxPyeyx-3 -2 -1 0 1 2 3-50510152025 Figure 1 y=exp(x) and its Taylor expansion equationXYyy1y2y3y4图 2 及其 Taylor 展开式)sin(xy其中,。!75!3)(;!)(;!3)(;)sin(7 5531 xxxPyxxPyxy-4 -3 -2 -1 0 1 2 3 4-8-6-4-202468 Figure 2 y=sin(x) and its Taylor ex
2、pansion equationXYyy1y3y5y7图 3 及其 Taylor 展开式)cos(xy其中,。!86!421)( ;!)(;!421)(;!)(;cos8 66422 xxxPyxxPyxy -4 -3 -2 -1 0 1 2 3 4-8-6-4-2024 Figure 3 y=cos(x) and its Taylor expansion equationXYyy2y4y6y8图 4 及其 Taylor 展开式)1ln(xy其中,。432)(;)(;2)(;)l(4 3321 xxxPyxxPyy-1 -0.5 0 0.5 1 1.5 2-3-2-10123 Figure 4
3、 y=ln(x) and its Taylor expansion equationXYyy1y2y3y4图 5 及其 Taylor 展开式)sh(xy其中,。!75!3)(;!)(;!3)(;2)sh(7 5531 xxxPyxxPyexyxx-5 -4 -3 -2 -1 0 1 2 3 4 5-80-60-40-20020406080 Figure 5 y=sh(x) and its Taylor expansion equationXYyy1y3y5y7图 6 及其 Taylor 展开式)ch(xy其中,。!86!421)( ;!)(;!421)(;!)(;2)ch(8 6642 xxx
4、PyxxPyexyxx -5 -4 -3 -2 -1 0 1 2 3 4 501020304050607080 Figure 6 y=ch(x) and its Taylor expansion equationXYyy2y4y6y8图 7 及其 Taylor 展开式)1(xy其中,。4324 323 221 !4)3)()(1( !)2)(1(!)(1)( ;!3)(!)1()( ;!)()(;)( xxxxxPy xxxPyxy -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1-2024681012141618 Figure 7.1 y=(1+x)a a
5、nd its Taylor expansion equation ( a = -1.5 )XYyy1y2y3y4-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 10.20.40.60.811.21.41.6 Figure 7.2 y=(1+x)a and its Taylor expansion equation ( a = 0.5 )XYyy1y2y3y4-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1-1001020304050 Figure 7.3 y=(1+x)a and its Taylor expansion equation ( a = 5.5 )XYyy1y2y3y4