Question

if lim(x->3) f(x)=7, which of the following must be true?

I. f is continuous at x=3
II. f is differentiable at x=3
III. f(3)=7

Answer 1

III is definitely true

Answer 2

i wanna say all of the above

Answer 3

I believe it is all of them, it is continuous because it is a horizontal line that isn't dependent on anything.
It is differentiable because it would be 0 regardless of what x equals
And again it f(any number)=7 because it there is no x.

Answer 4

ahh thank you so much. be prepared for multiple limits questions.. it's review time in AP Calc

Answer 5

Welcome :)