Let f be a function defined and continuous on the closed interval [a, b]. If ƒ has a relative maximum at c and a < c < b, which of the following statements must be true? l. fi (c) exists II. If f (c) exists, then f (c) = 0 III. If fil (c) exists, then fll (c) ≤ 0. III only O I and II only II and III only Il only

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A: