Does $\lim\inf n^2$ equal $\infty$ or does not exist?
It seems the textbook doesn't specifically talk about this kind of case.
2026-04-04 08:07:56.1775290076
Does $\lim\inf n^2$ equal $\infty$ or does not exist?
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It equals infinity, $\liminf $ of a sequence always exists.
It's either a real number or $\infty$/$-\infty$.
In this case the sequence converges to infinity so $$\limsup=\liminf=\lim=\infty!$$