Question

级数求解，已知某级数和求另一级数和

Answer 1

Answer 2

可以直接做：用{ }表示无穷级数的和 （n from 1 to infinity}
{1/(2n-1)^2} = 1 + 3^2 + 5^2 + ....(2n-1)^2, n->oo
= {1/n^2} - {1/(2n)^2}
= (3/4) {1/n^2}
= (3/4) (π^2/6)
= (1/8)π^2