括号里一加二分之一乘以括号一减二分之一乘括号一加三分之一乘以括号一减三分

2024-12-01 18:09:42
推荐回答(1个)
回答1:

(1+1/2)(1-1/2)(1+1/3)(1-1/3)...(1+1/99)(1-1/99)
=3/2×1/2×4/3×2/3...100/99×98/99
=3/2×4/3×5/4×……×100/99×1/2×2/3×……×98/99
=100/2×1/99
=50/99