I'm not sure if I am confusing myself or not, but a friend and I were trying to figure this out. Basically, I know that if a sequence is bounded, we are guaranteed at least one convergent subsequences. However, is it possible for a bounded sequence to have infinitely many of such subsequences?(adsbygoogle = window.adsbygoogle || []).push({});

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# Can a bounded subsequence have infinitely many convergent subsequences?

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