Q.Let $f(x) = \begin{cases} \dfrac{\sin^{-1}(\sin x)}{x} & x \ne 0 \ k & x = 0 \end{cases}$ . The value of $k$ for which $f$ is continuous at $x=0$ is

1

\pi/2

0

does not exist

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Q.Let f(x)={sin⁡−1(sin⁡x)xx≠0 kx=0f(x) = \begin{cases} \dfrac{\sin^{-1}(\sin x)}{x} & x \ne 0 \ k & x = 0 \end{cases}f(x)={xsin−1(sinx)​​x=0 k​x=0​. The value of kkk for which fff is continuous at x=0x=0x=0 is