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Consider the following piecewise defined function f(x) that is drawn below: 2 (-4. 1) Q-0.5 (0, 0) -2 0 1 2 - 0. 4 r--1

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Consider the following piecewise defined function f(x) that is drawn below: 2 (-4. 1) Q-0.5 (0, 0) -2 0 1 2 - 0. 4 r--1 Compute lim f(x), lim f(x) and lim f(x). Justify your computations.Using limits, argue why f(x) is continuous at r = but not differentiable at

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