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(1/2018-1)*(1/2017-1)…(1/3-1)*(1/2-1)=

(1/2018-1)(1/2017-1)...(1/3-1)(1/2-1)

=-(1- 1/2018)(1- 1/2017)...(1- 1/3)(1- 1/2)
=-(2017/2018)(2016/2017)...(2/3)(1/2)
=-(2017×2016×...×2×1)/(2018×2017×...×3×2)
=-1/2018
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2024-05-19 14:51:55
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