Mathematics

Problem

The value of

\lim_{x \rightarrow 0} (\sin^{-1}[\cos x] + \cos^{-1}[\sin x] - 2 \sec^{-1}[\sec x])

is equal to (Note:

[k]

denotes largest integer function less than or equal to

k

). (a)

\frac{\pi}{2} - 2

(b)

\frac{\pi}{2}

(c)

\pi

(d) Non existent