(1-2^-2)(1-3^-2)(1-4^-2)(1-5^-2)···到1-10^-2求速度啊

网友回答

(1-2^-2）=[1-2^(-1)][1+2^(-1)]=(1/2)(3/2)
类似1-3^(-2)=(2/3)(4/3),.1-10^(-2)=(9/10)(11/10)
(1-2^-2)(1-3^-2)(1-4^-2)(1-5^-2)(1-6^-2)(1-7^-2)(1-8^-2)(1-9^-2)(1-10^-2)
=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)(4/5)(6/5)(5/6)(7/6)(6/7)(8/7)(7/8)(9/8)(8/9)(10/9)(9/10)(11/10)
=(1/2)(11/10)
=11/20