The function f(x)=x^2-4 x-2 is - Vidyadip

MCQ

The function $f(x)=\frac{x^2-4}{\sin x-2}$ is

✓
continuous for all real values of x
B
discontinuous when x = 2
C
discontinuous when sin x = 2
D
none of these

✓

Answer

Correct option: A.

continuous for all real values of x

(A)
For all $x \in R ,-1 \leq \sin x \leq 1$
$\therefore f (x)$ is continuous for all real values of $x$.

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