Question: 7. Let E1, $2, ... be a sequence of independent identically distributed random variables with uniform distribution on [0, 1]. Prove that the limit lim

7. Let E1, $2, ... be a sequence of independent identically distributed random variables with uniform distribution on [0, 1]. Prove that the limit lim n=00 $1 . ... . En exists with probability one. Find its value

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