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According to wikipedia a function $f\colon \mathbb{R}^n\to\mathbb{R}^n$ that is continuously, is also locally Lipschitz.

I there someone who knows a good reference which contains a proof of this statement?

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    Beware: Wikipedia reads "continuously differentiable", not "continuous differentiable in all directions" (which could be interpreted so as to make the statement false).2012-05-10
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    Now it just says "continuously" which makes even less sense. Please clarify.2012-05-10

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