I have to find limit points of the set $\{ n\sin(n)\mid n\in\mathbb N \}$. According to me set is dense in $\mathbb R$ as $\sin(n)$ is dense in $[-1,1]$. Any suggestions please. Solution of same problem is given in Is $n \sin n$ dense on the real line? but unable to understand. Can I got short way to thinking it’s limit points ?
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1Seems difficult. See this. – David Mitra Apr 15 '23 at 09:16
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Also this. – Gary Apr 15 '23 at 09:22