Let $f:[1,\infty)\to\mathbb R$ be uniformly continuous.
Prove $\exists$ $M > 0$ s.t $$\frac{\big|f(x)\big|}{x} \leq M, \hspace{11pt} \forall x\in[1,\infty)$$
2026-04-01 03:40:59.1775014859
Uniformly continuous functions on the interval
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