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![SOLVED: The metric space M is separable if it contains a countable dense subset. [Note the confusion of language: “Separable” has nothing to do with “separation.”] (a) Prove that R^m is separable. (](https://cdn.numerade.com/ask_previews/c35981a3-2981-4602-a32a-73f36cf0f937_large.jpg "SOLVED: The metric space M is separable if it contains a countable dense subset. [Note the confusion of language: “Separable” has nothing to do with “separation.”] (a) Prove that R^m is separable. (")
SOLVED: The metric space M is separable if it contains a countable dense subset. [Note the confusion of language: “Separable” has nothing to do with “separation.”] (a) Prove that R^m is separable. (
