Show that `f(x)=|x-3|` is continuous but not differentiable at `x=3.`

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3.9 Continuous but not differentiable functions 3.9 Continuous but not differentiable functions
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Prove that the function f given by f(x)=|x-3|, x ∈ R is continuous but not differentiable at x=3. Prove that the function f given by f(x)=|x-3|, x ∈ R is continuous but not differentiable at x=3.
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