## Calculus: Early Transcendentals 8th Edition

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