Help me with the 1st question asap

$$\begin{gathered} Q.1 The value of \underset{x\to 0}{L\mathrm{im}} \left({\sin }^{-1} \left[\sin x\right] + {\cos }^{-1} \left[\cos x\right] - 2{\tan }^{-1} \left[\tan x\right] \right) is equal to \\ [Note : \left[k\right] denotes largest integer function less than or equal to k.] \\ \left(A\right) \mathrm{\pi } \left(\mathrm{B}\right) \frac{\mathrm{\pi }}{2} \left(\mathrm{C}\right) \frac{3\mathrm{\pi }}{2} \left(\mathrm{D}\right) \mathrm{non}-\mathrm{existent} \end{gathered}$$