Question

Among which of these points is $f\left(x\right)=\tan x$ discontinuous?

• A. $\frac{-\pi }{4}$
• B. 0
• C. $\frac{\pi }{4}$
• D. $\frac{\pi }{2}$

Answer 1

The correct option is D

$\frac{\pi }{2}$

Lets draw the graph first

$\tan x$ tends to infinity at $x={90}^o$. It is a case where the limit of the function doesn't exist at the point since the function tends to infinity at these points.