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Let x1, x2, ,xn be positive real number...

Let `x_1, x_2, ,x_n` be positive real numbers and we define `S=x_1+x_2++x_ndot` Prove that `(1+x_1)(1+x_2)(1+x_n)lt=1+S+(S^2)/(2!)+(S^3)/(3!)++(S^n)/(n !)`

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