The function has a non-removable discontinuity at x = 0. The mean value theorem does not apply.
-Let f have a derivative on an interval I. f' has successive distinct zeros at x = 1 and x = 5. Prove that there can be at most one zero of f on the interval (1, 5).

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The Answer of The function has a non-removable discontinuity at x = 0. The mean value theorem does not apply.
-Let f have a derivative on an interval I. f' has successive distinct zeros at x = 1 and x = 5. Prove that there can be at most one zero of f on the interval (1, 5).

The Function Has a Non-Removable Discontinuity at X = 0