﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚

问题描述:

﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚

(1-1/2^2)(1-1/3^2)(*1-1/4^2)...(1-1/2013^2)
=1/2x3/2x2/3x4/3x3/4x5/4x...x2012/2013x2014/2013
=1/2x2014/2013
=1007/2013