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(Solved): Let (x_(k)) be a Cauchy sequence in a metric space x. Prove that: (a) (x_(k)) is bounded in X. (b) I ...



Let (x_(k)) be a Cauchy sequence in a metric space x. Prove that: (a) (x_(k)) is bounded in X. (b) If some subsequence of (x_(k)) converges to x in X then (x_(k)) converges to x in X


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