# How do you use the definition of continuity to determine if g(x) = x^3 / x is continuous at x=0?

May 26, 2016

Is ${\lim}_{x \rightarrow 0} g \left(x\right) = g \left(0\right)$?

#### Explanation:

No.

$g \left(0\right)$ is not defined, so the function is not continuous at $0$.