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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