计算(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)

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计算(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)
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计算(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)
计算(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)

计算(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)
(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/1000-1)
=(-2008/2009)(-2007/2008).(-999/1000)
因为共有 2008-999+1等于偶数个
所以原式=999/2009