计算(1-(2²分之1))(1-(3²分之1))(1-(4²分之1))···(1-(2013²分之1))
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计算(1-(2²分之1))(1-(3²分之1))(1-(4²分之1))···(1-(2013²分之1))
计算(1-(2²分之1))(1-(3²分之1))(1-(4²分之1))···(1-(2013²分之1))
计算(1-(2²分之1))(1-(3²分之1))(1-(4²分之1))···(1-(2013²分之1))
(1-1/2²)(1-1/3²)(1-1/4²)...(1-1/2013²)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)...(1+1/2013)(1-1/2013)
=(3/2)(1/2)(4/3)(2/3)(5/4)(3/4)...(2014/2013)(2012/2013)
=[(3/2)(4/3)(5/4)...(2014/2013)][(1/2)(2/3)(3/4)...(2012/2013)]
=[(3×4×5×...×2014)/(2×3×4×...×2013)][(1×2×3×...×2012)/(2×3×4×...×2013)]
=(2013/2)(1/2012)
=2013/4024