Question: Let f be a real-valued function and lim f ( x ) = 2. Which of the following x- 5 statements must necessarily be true?

Let f be a real-valued function and lim f ( x ) = 2. Which of the following x- 5 statements must necessarily be true? (1). f is continuous at X = 5. (11). f is differentiable at x = 5. ( 111). f(5) = 2. None Only (1) Only (111) O (1) and (Ill) only All of (1), (11), and (III)

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