(1-1⼀2^2)(1-1⼀3^2)(1-1⼀4^2)......(1-1⼀10^2)

2024-12-20 15:58:55
推荐回答(1个)
回答1:

(1-1/2^2)(1-1/3^2)(1-1/4^2)......(1-1/10^2)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)......(1+1/10)(1-1/10)
=3/2×4/3×5/4×……×11/10×1/2×2/3×3/4×……×9/10
=11/2×1/10
=11/20