把函数1⼀(1-x)展开为x的幂级数是什么?

2025-03-30 05:10:00
推荐回答(1个)
回答1:

1/(1-x) = 1/[2-(x+1)] = (1/2)/[1 - (x+1)/2]
= (1/2)[1 + (x+1)/2 + ((x+1)/2)^2 + ... + ((x+1)/2)^n], n->oo