Question $2\mathrm{.}1\mathrm{.}0\mathrm{.}4\mathrm{.}34.$ Which of the following statements is correct?

A$.\underset{x{x}_0}{lim}f(x)=$ indicates that the limit exists.

B$.\underset{x{x}_0}{lim}f(x)=$ indicates that the limit is finite.

C$.\underset{x{x}_0}{lim}f(x)=$ indicates that the limit does not exist.

D$.\underset{x{x}_0}{lim}f(x)=$ indicates that the function $f$ is continuous at $x_0.$