Consider a twice continuously differentiable and bounded function $f:\mathbb R \rightarrow \mathbb R$ has the following property: in any neighborhood of $\infty$, there are an infinite number of intervals for which the total variation of $f$ is at least $C>0$. I am trying to figure out whether this implies that $f$ does not converge as $x \rightarrow \infty$.
2026-03-25 21:00:05.1774472405
Relationship between limit and total variation
65 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LIMITS
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