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If sum of the series (1)/(x+1)+(1)/(x(x+2))+(1)/(x(x+1)(x+3))+...+(1)/(x(x+1)...(x+99)(x+100))+(1)/(x(x+1)(x+2)...(x+100)(x+101)) is (2)/(3), then x is equal to |
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