Table 1.1 Taylor Series Expansions for Some Common Functions Sin( r= ′×25 + or all r 4x6 cos(a=1 + TOr 4!6 e=1+x+-+++ 3!4 n(1+x)=x C乙 3 + 1<x<1 234 arctan(a)=a + 1<x<1 35 +x)2=1+mD-1)2 +… for ac|<1