(1-1/2的平方)(1-1/3的平方)…(1-1/100)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)……(1+1/100)(1-1/100)
=3/2×4/3×……×101/100×1/2×2/3×……×99/100
=101/2×1/100
=101/200
(1-1/2的平方)(1-1/3的平方)…(1-1/100)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)……(1+1/100)(1-1/100)
=3/2×4/3×……×101/100×1/2×2/3×……×99/100
=101/2×1/100
=101/200