If the function f(x) = x^2[sin^ -1 x] is discontinuous at x = and… - Vidyadip

MCQ

If the function $f(x)$ = $x^2[sin^{-1}x]$ is discontinuous at $x$ = $\alpha$ and $x=\beta\ \ ,\alpha ,\beta \in R - \left\{ 0 \right\}$ , then the value of $\alpha$ +$\beta$ is (where $[.]$ denotes greatest integer function)

A
$-sin1$
✓
$0$
C
$2sin1$
D
$-2sin1$

✓

Answer

Correct option: B.

$0$

b
$f(\mathrm{x})$ is discontinuous when ever $\left[\sin ^{-1} \mathrm{x}\right]$ is discontinuous

$\therefore \quad \alpha+\beta=0$

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