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True or false questions: If 1 0. CIf an > 0 for all natural numbers n and the sequence (an ) is decreasing, then there

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If 1 0. CIf an > 0 for all natural numbers n and the sequence (an ) is decreasing, then there exists a real number L > 0 such that an -> L as n -+ 00.\fn If the n-th partial sum of the series E ak is Sn = 3 - mn, then the k-th term of the series k=1 k - 2 is OK = and the sum of the series is 3. k

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