## Calculus (3rd Edition)

The function $\frac{1}{x}$ is discontinuous at $x=0$ and the discontinuity is infinite. The function is neither left or right continuous.
The function $\frac{1}{x}$ is discontinuous at $x=0$. Since $\lim\limits_{x \to 0}=\infty$, then the discontinuity is infinite. The function is neither left or right continuous.