计算:(1-1/2^2)(1-1/3^2)(1-1/4^2)…(1-1/2014^2)(1-1/2015^2)

日期:2020-12-31 22:58:32 人气:1

计算:(1-1/2^2)(1-1/3^2)(1-1/4^2)…(1-1/2014^2)(1-1/2015^2)

(1-1/2^2)(1-1/3^2)(1-1/4^2)…(1-1/2014^2)(1-1/2015^2) =(1/2)*(3/2)*(2/3)*(4/3)*(3/4)*(5/4)......(2013/2014)*(2015/2014)*(2014/2015)*(2016/2015) =(1/2)*(2016/2015) =1008/2015
    A+
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