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I’m studying for my Mathematics class and don’t understand how to answer this. Can you help me study?
Function f is defined by f(x) = x 3 for x <= 0 and f(x) = x 3 + 1 for x > 0. show that although lim f '(x) as x approaches 0+ = lim f '(x) as x approaches 0- f '(0) does not exist.