On negation of lipschiz continuity – math.stackexchange.com

On negation of lipschiz continuity – math.stackexchange.com

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Let $f: [a,b] \to R$ be continuous function which is not Lipschitz continuous. Can we say there exist $x \in [a,b] $ and strictly monotone sequences, $\{x_n\}_{n=1}^{\infty} \subseteq [a,b] $ and ...

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