I am reading a proof that claims that ##\overline{B_{\epsilon /2}(x)} \subseteq B_{\epsilon}(x)##, where the overline means closure, without really explaining why. It's clear to me that ##B_{\epsilon /2}(x) \subseteq B_{\epsilon}(x)##, but I can't quite see why the former is the case without additional explication.(adsbygoogle = window.adsbygoogle || []).push({});

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# I Open balls contained in other open balls

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