计算(1/2008-1)*(1/2007-1)*(1/2006-1)*...*(1/1000-1)最后等于多少
问题描述:
计算(1/2008-1)*(1/2007-1)*(1/2006-1)*...*(1/1000-1)最后等于多少
如上
答
(1/2008-1)*(1/2007-1)*(1/2006-1)*...*(1/1000-1)
=-2007/2008*(-2006/2007)*(-2005/2006)*...*-999/1000
=-999/2008