We run a sequence of trials for which the probabilities of success are different. Namely, for the

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We run a sequence of trials for which the probabilities of success are different. Namely, for the first trial, it is 1/2, for the second, it is 1/4, and so on: for the kth trial, it is 1/2k. Find the expected number of successes in n trials. Consider the case n = ∞.

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