Let $f:[0, \infty) \to \mathbb{R}$ be a continuous function. Does the convergence of $\int\limits_0^\infty f(x) dx$ allways imply $\lim\limits_{x \to \infty } xf(x) =0$?
2026-05-06 02:13:16.1778033596
Does the convergence of $\int\limits_0^\infty f(x) dx$ imply $\lim\limits_{x \to \infty } xf(x) =0$?
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