(1-2/1)(3/1-1)(1-4/1)(5/1-1)...(2013/1)(1-2014/1)=?

问题描述:

(1-2/1)(3/1-1)(1-4/1)(5/1-1)...(2013/1)(1-2014/1)=?

答:
分子分母错位乘除
(1-1/2)×(1-1/3)×(1-1/4)×.×(1-1/2014)
=(1/2)×(2/3)×(3/4)×.×(2013/2014)
=1/2014