图 6 y?ch(x)及其 Taylor 展开式
其中，
ex?e?xy?ch(x)?;2x2y2?P2(x)?1?;2!x2x4y4?P4(x)?1??;2!4! x2x4x6y6?P6(x)?1???;2!4!6!x2x4x6x8y8?P8(x)?1????。2!4!6!8!
Figure 6 y=ch(x) and its Taylor expansion equation80706050403020100-5yy2y4y6y8Y-4-3-2-10X12345
?y?(1?x)图 7 及其 Taylor 展开式
其中，
y?(1?x);y1?P1(x)?1??x;2!?(??1)2?(??1)(??2)3y3?P3(x)?1??x?x?x;2!3!?(??1)2?(??1)(??2)3
y4?P4(x)?1??x?x?x2!3!?(??1)(??2)(??3)4 ?x。4!
Figure 7.1 y=(1+x)a and its Taylor expansion equation ( a = -1.5 )181614121086420-2-1-0.8-0.6-0.4-0.20X0.20.40.60.81yy1y2y3y4?y2?P2(x)?1??x??(??1)x2;Y
Figure 7.2 y=(1+x)a and its Taylor expansion equation ( a = 0.5 )1.6yy1y21.2y3y41.41Y0.80.60.40.2-1-0.8-0.6-0.4-0.20X0.20.40.60.81
Figure 7.3 y=(1+x)a and its Taylor expansion equation ( a = 5.5 )50yy1y2y330y4
4020Y100-10-1-0.8-0.6-0.4-0.20X0.20.40.60.81
一些常用函数及其泰勒(Taylor)展开式的图像
