#### Answer

$\lim\limits_{x\to4}f(x)=f(4)$

#### Work Step by Step

$\lim\limits_{x\to4}f(x)=f(4)$ shows that function $f$ is continuous at $4$ since it satisfies 3 conditions of continuity:
- $\lim\limits_{x\to4}f(x)$ exists.
- $f(4)$ is defined ($4$ is in the domain of $f$)
- $\lim\limits_{x\to4}f(x)=f(4)$