Question

The points of discontinuity of $\tan x$ are

• A. $n\pi ,n\in I$
• B. $2n\pi ,n\in I$
• C. $(2n+1)\frac{\pi }{2},n\in I$
• D. None of the above

Answer 1

Answer: (C)

Let $f(x)=\tan x$
The point of discontinuity of $f(x)$ are those points where tan x is infinite.
$ie,\tan x=\tan \infty$
$\Rightarrow$ $x=(2n+1)\frac{\pi }{2},n\in I$