Question

The value of $\underset{x\to 0}{\mathrm{Lim}}\left({\sin }^{-1}[\sin x]+{\cos }^{-1}[\cos x]-2{\tan }^{-1}[\tan x]\right)$ is equal to [Note : [k] denotes largest integer function less than or equal to $k$.]

• A. $\pi$
• B. $\frac{\pi }{2}$
• C. $\frac{3\pi }{2}$
• D. non-existent

Answer 1

Answer: (B)

Correct answer is (b) $\frac{\pi }{2}$