(1-1/16)(1-1/25)(1-1/36)……(1-1/10000)=1/X 求X,
问题描述:
(1-1/16)(1-1/25)(1-1/36)……(1-1/10000)=1/X 求X,
答
(1-1/16)(1-1/25)(1-1/36)……(1-1/10000)
=(3*5/4^2)*(4*6/5^2)*(5*7/6^2)*……(99*101/100^2)
=(3/4)*(101/100)
=303/400
x=400/303.