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Suppose that f(4) is continuous and f′(c) = f′′(c) = f′′′(c) = 0, but f(4) is...

Suppose that f(4) is continuous and f′(c) = f′′(c) = f′′′(c) = 0, but f(4) is not =0. Does f(x) have a local maximum, minimum or a point of inflection at c? Justify your answer.

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