(1-1/2²)(1-1/3²)…(1-1/9²)(1-1/10²)
问题描述:
(1-1/2²)(1-1/3²)…(1-1/9²)(1-1/10²)
答
( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方) =(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)...(8/9)(10/9)(9/10)(11/10)=(1/2...