计算:(1/2010-1)乘(1/2009-1)乘(1/2008-1)乘...乘(1/1000-1)=

问题描述:

计算:(1/2010-1)乘(1/2009-1)乘(1/2008-1)乘...乘(1/1000-1)=

=(-2009/2010)*(-2008/2009)*……*(999/1000)
=(-1)^(2010-1000)*(999/2010)
=999/2010