(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)
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(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)(1-1
(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)
(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)
(1-1/2)x(1-1/3)x(1-1/4)x……x(1-1/1999)x(1-1/2000)
=1/2×2/3×3/4×4/5×……×1999/2000
=1/2000
前一个分数的分母与后一个分子约去
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