用平方差 (1-2的2次方分之1)(1-3的2次方分之1)(1-4的2次方分之1))……(1-6的2次方分之1)

2024-12-29 10:35:15
推荐回答(1个)
回答1:

=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)(1-1/5)(1+1/5)(1-1/6)(1+1/6)
=1/2 × 3/2×2/3 × 4/3×3/4 ×5/4×4/5 ×6/5×5/6 ×7/6
=1/2×7/6
=7/12