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(1/2

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)
原式=(-2008/2009)*(-2007/2008)*……*(-999/1000)
=999/2009
(一共有1010项,所以负负得正,每一项的分子分母可以与前后项约分)