I'm trying to show a function has non-uniform continuity, and I can't seem to think of 2 sequences (x(adsbygoogle = window.adsbygoogle || []).push({}); _{n}) and (y_{n}) where |(x_{n}) - (y_{n})| approaches zero, where f(x) = x^{3}. Can anyone think of two sequences?

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# I'm trying to show a function has non-uniform continuity

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