A example of function $\displaystyle f:R\to R$ that no satify Lipschitz condition $\displaystyle \lambda$ in all R, but continuous in all R?

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- Apr 28th 2010, 03:58 PMrmorinContinuity functions (Generalization)
A example of function $\displaystyle f:R\to R$ that no satify Lipschitz condition $\displaystyle \lambda$ in all R, but continuous in all R?

- Apr 28th 2010, 04:09 PMtonio
- Apr 28th 2010, 04:17 PMDrexel28
- Apr 28th 2010, 04:22 PMKrizalid
i think it's probably that thing.

but $\displaystyle f(x)=\sqrt x$ on $\displaystyle x\in[0,\infty)$ is a good choice.