I have the following [itex]A\subset\mathbb{R}^{n}[/itex] is dense then [itex]A[/itex] isn't bounded. Is this true? I know that [itex]A[/itex] is dense iff [itex]\bar{A}=\mathbb{R}^{n}[/itex] and that [itex]A[/itex] is bounded iff [itex]\exists \epsilon>0\mid B_{\epsilon}(0)\supset A[/itex]. How to proof it? Or there is an counterexample?(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: General Topology

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