3 times differentiable, but not 3 times continuously differentiable?

Does anyone know an example of a function that is 3 times differentiable, but not 3 times continuously differentiable?

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Originally Posted by paupsers

Does anyone know an example of a function that is 3 times differentiable, but not 3 times continuously differentiable?

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Try (with f(0) = 0). The third derivative will exist everywhere but be discontinuous at the origin.