(c)
The point of discontinuity of $f(x)$ are those points where $\tan x$ is infinite.
$ie,\ \ \ \ \tan{x = \tan\infty}$
$\Rightarrow \ \ \ \ x = (2n + 1)\frac{\pi}{2},\ \ n \in I$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.