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Please, give me some guidance in solving this problem.

Let [itex]f:{\mathbb{R}}^n\longrightarrow{\mathbb{R}}^m[/itex].

Show that f is continuous iff for all [itex]M\subset{\mathbb{R}}^n[/itex] the inclusion [itex]f(closM)\subseteq{clos{}f(M)}[/itex] holds.(closM denotes the closure of the set M)

Please, ask me some guiding questions to lead me in the right direction straightaway.

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# Homework Help: Definition Continuity

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