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Metric Space and Countable Dense Subset : Prove that if a metric space M is totally bounded, then there is a countable dense subset of M.

2. Prove that if a metric space M is totally bounded, then there is a countable dense subset of M.

Note: we are using the "Methods of Real Analysis by Richard R Goldberg

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A Metric Space and Countable Dense Subset are investigated. The solution is detailed and well presented.

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