I need to find/construct a sequence with no convergent subsequnces, with justification. Any suggestions?
2026-04-08 09:05:12.1775639112
example of a sequence with no convergent subsequence
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Hint: any bounded sequence on $\mathbb{R}^n$ has a convergent subsequence. Thus, your counterexample will have to be unbounded. Luckily, the obvious options at hand work.