Let X 2 , X 3 , X 4 , be a sequence of random variables

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Let X2, X3, X4, ⋯ be a sequence of random variables such thatFxn(x) = = enx + xen n+. enz + (+ ) en n enx ten - (+) en enx + 0x 1 x > 1

Show that Xn converges in distribution to Uniform(0, 1).

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