let f be defined as follows where a is not equal to 0.
f(x) = x^2-a^2 for x is not equal to a
and f(x) = 0, for x=a
which of the following are true about f?
I. lim from x to a f(x) exists
II. f(a) exists.
III. f(x) is continuous at x=a
I. and II. are correct...because we know the limit exists by how the question is worded...and we see that II. is correct becuase it states ....and we see that three is incorrect because to have continuity at a point c which is not the case here