The function f(x)= x is discontinuous on the set - Vidyadip

MCQ

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

✓
$\{x=n \pi ; n \in Z\}$
B
$\{x=2 n \pi ; n \in Z\}$
C
$\left\{x=(2 n+1) \frac{\pi}{2} ; n \in Z \right\}$
D
$\left\{x=\frac{n \pi}{2} ; n \in Z \right\}$

✓

Answer

Correct option: A.

$\{x=n \pi ; n \in Z\}$

(a) : $f(x)=\cot x$ is discontinuous if $\cot x \rightarrow \infty$
$\Rightarrow \cot x=\cot 0 \Rightarrow x=n \pi \forall n \in Z$.

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