Question: Problem 2 (5 points) Let (X,d) lie a complete metric space, and let A be a totally bounded subset of X. Prove that A is

Problem 2 (5 points) Let (X,d) lie a complete metric space, and let A be a totally bounded subset of X. Prove that A is compact. Hint: you will need to rst prove that Z is totally bounded, then conclude that X is compact (why?)

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