Calculus

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Let f be defined as follows, where a does not = 0,

f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a
5, if x = a

Which of the following are true about f?
I. lim f(x) exists as x approaches a
II. f(a) exists
III. f(x) is continuous at x = a.

A. None
B. I, II, and III
C. I only
D. II only
E. I and II only.

From my own knowledge, I would say that it is D. II only. Since we do not know what is equal to, we cannot determine what the limits or continuity would be at a. Is this correct?

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