Answer
The function $\frac{1}{x}$ is discontinuous at $ x=0$ and the discontinuity is infinite. The function is neither left or right continuous.
Work Step by Step
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.
