## Calculus: Early Transcendentals 8th Edition

$\lim\limits_{x \to 2^+}f(x) = f(2)$ $\lim\limits_{x \to 2^-}f(x) \neq f(2)$
$\lim\limits_{x \to 2^+}f(x) = f(2)$ As $x$ approaches $2$ from the right side, the value of the function approaches $f(2)$. Therefore, the function is continuous from the right. $\lim\limits_{x \to 2^-}f(x) \neq f(2)$ However, as $x$ approaches $2$ from the left side, the value of the function does not approach $f(2)$. Therefore, the function is discontinuous at $x=2$