Suppose we know $\underset{x}{lim}f(x)=2.$ Which of the following statements must be true?

Check all that are true.

A$.$ As $x$ gets very large, $f(x)$ gets close to $2$

B$.f(x)$ is never equal to $2$

C$.f(x)$ has a horizontal asymptote at $y=2$

D$.f(x)$ is continuous at $x=$

E$.\underset{x-}{lim}f(x)=2$

F$.\underset{x-}{lim}f(x)=-2$

G$.f(x)$ has a vertical asymptote at $x=2$