This question is designed to be answered without a calculator. Let f be a function such that lim f(x) = a for all integer values of a. Which of the following statements must be true? x-a 1. f(a) = a for all integer values of a. II. The limit of f as x approaches a exists and is equal to a. III. As x increases and approaches a, the value of f(x) approaches a. none Ill only OI and II only O II and III only

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