﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚
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![﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚](/uploads/image/z/3817912-40-2.jpg?t=%EF%B9%991%EF%BC%8D1%2F2%26%23178%3B%EF%B9%9A%EF%B9%991%EF%BC%8D1%2F3%26%23178%3B%EF%B9%9A...%EF%B9%991%EF%BC%8D1%2F2013%26%23178%3B%EF%B9%9A)
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﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚
﹙1-1/2²﹚﹙1-1/3²﹚...﹙1-1/2013²﹚
﹙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