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Learn how to determine if a piecewise function is continuous and differentiable

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How to points on a graph where the function is not differentiable

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Show that the following function is continuous but not differentiable at x=0. f(x)=x.sin(1/x);if x=/

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Continious Function Not Differentiable

Show that f(x) =|x| is continuous but not differentiable at x =0

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Determine the discontinuity of the function

Find the values a and b that make the piecewise function continuous