计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急

问题描述:

计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急

(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1)
=(-1/2)*(-2/3)*(-3/4)×...×(-2010/2011)*(-20111/2012)
=1/2012