计算 ﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚
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![计算 ﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚](/uploads/image/z/384170-50-0.jpg?t=%E8%AE%A1%E7%AE%97+%EF%B9%991%EF%BC%8D1%EF%BC%8F2%26%23178%3B%EF%B9%9A%EF%B9%991%EF%BC%8D1%EF%BC%8F3%26%23178%3B%EF%B9%9A%EF%B9%991%EF%BC%8D1%EF%BC%8F4%26%23178%3B%EF%B9%9A%C2%B7%C2%B7%C2%B7%EF%B9%991%EF%BC%8D1%EF%BC%8F10%26%23178%3B%EF%B9%9A)
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计算 ﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚
计算 ﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚
计算 ﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚
﹙1-1/2²﹚﹙1-1/3²﹚﹙1-1/4²﹚···﹙1-1/10²﹚
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)……(1+1/10)(1-1/10)
=3/2x4/3x5/4x……x10/10x1/2x2/3x3/4x……x9/10
=11/2x1/10
=11/20