If y=3 is a horizontal asymptote of a rational function, which must be true?

Question

lim
x→ 3
f(x) = 0

lim
x→ 0
f(x) = 3 **my answer


lim
x→ ∞
f(x) = 3

lim
x→ 3
f(x) = ∞

Answer 1

no, it is

lim
x→ ∞
f(x) = 3

your choice would simply be the point (0,3)