(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/2013)(1-1/2013)等于多少,用求过程我就想看看我对不对 (用连锁约分)

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(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/2013)(1-1/2013)等于多少,用求过程我就想看看我对不对  (用连锁约分)

(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/2013)(1-1/2013)等于多少,用求过程我就想看看我对不对 (用连锁约分)
(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/2013)(1-1/2013)等于多少,用求过程我就想看看我
对不对 (用连锁约分)

(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/2013)(1-1/2013)等于多少,用求过程我就想看看我对不对 (用连锁约分)
(1+1/2)(1-1/2)(1+1/3)(1-1/3)x...x(1+1/2013)(1-1/2013)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)x...x(1-1/2013)(1+1/2013)
=1/2x3/2x2/3x4/3x……x2012/2013x2014/2013
=1/2x2014/2013
=1007/2013