(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……×(1-1/99)×(1+1/99)
=1/2×3/2×2/3×4/3×3/4×5/4×……×98/99×100/99
=1/2×100/99 【中间的约去了!】
=50/99
(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……×(1-1/99)×(1+1/99)
=1/2×3/2×2/3×4/3×3/4×5/4×……×98/99×100/99
=1/2×100/99 【中间的约去了!】
=50/99