Read the two statements and choose the correct option.

I. $f(x) = \frac{1}{x}$ is continuous at every point of its domain.

II. $f(x) = \tan x$ is continuous at $x = \frac{\pi}{2}$.

Explanation

1. 01

   I is true: 0 is not in the domain, and at every other point $\frac{1}{x}$ is continuous.

2. 02

   II is false: $\tan \frac{\pi}{2}$ is not defined, so continuity there cannot even be asked.