The function f(x) = tanx is discontinuous on the set:

Question

The function $f (x) = \tan x$ is discontinuous on the set:

Smart Achievers · Accepted Answer

(3)

Ans. ${x = (2 n + 1) \frac{π}{2} : n \in Z}$

Explanation:

When $\tan ((2 n + 1) \frac{π}{2}) = \tan (n π + \frac{π}{2}) = - \cot n π .$

It is not defined at the integral points $(n \in Z)$ .

Hence, $f (x) = \tan x$ is discontinuous at $(2 n + 1) \frac{π}{2}$

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