(∞∑n=1)(-1)^(n-1)x^(2n+1)/n(2n-1)的收敛域及函数?

问题描述:

(∞∑n=1)(-1)^(n-1)x^(2n+1)/n(2n-1)的收敛域及函数?

求收敛域:对an=(-1)^(n-1)x^(2n+1)/n(2n-1),
n次根号下(|an|)=n次根号(x^(2n+1)/n(2n-1))-->x^2
所以收敛域首先包含|R|