Let f(x) = |x-3| . Evaluate the following limits.

\displaystyle \lim_{x\to 3^-} \frac{f(x)-f(3)}{x-3}=

\displaystyle \lim_{x\to 3^+} \frac{f(x)-f(3)}{x-3}=

Thus the functionf(x) is not differentiable at 3.

Thus the function

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