(1+x^2)^-1/2展开成x的幂级数

问题描述:

(1+x^2)^-1/2展开成x的幂级数

(1+x)^a=1+ax+(a-1)ax^2/2+(a-2)(a-1)ax^3/6+.(a-n+1)(a-n+2).ax^n/n!
然后做个代换x换成x^2,a换成-1/2