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    Proving Lim of Sequence Equals 1/2

    Homework Statement Suppose that the following condition holds lim(n→∞)⁡ (∑ Pi ) /(n-1) = 1/2 where 0< Pi <1. Then, by l'Hopital's rule, I think the following should also hold. Right? lim(n→∞)⁡ ∑ Pi = (1/2)n + constant In this case, I am wondering whether we can...
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