(1-1/2)(1-1/3)(1-1/4)……(1-1/2013)*(1-1/2014)

来源：学生作业帮助网编辑：作业帮时间：2024/05/16 11:27:18

(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/2013)*(1-1/2014)
(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/2013)*(1-1/2014)

(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/2013)*(1-1/2014)
解
(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/2013)*(1-1/2014)
=(1/2)(2/3)(3/4)(4/5)……(2012/2013)(2013/2014)
=1×(1/2014)
=1/2014