The value of is equal to

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The value of lim⁡x→0(sin⁡−1([cos⁡x])+cos⁡−1([sin⁡x])−2sec⁡−1([sec⁡x]))\lim_{x \to 0}\left(\sin^{-1}([\cos x])+\cos^{-1}([\sin x])-2\sec^{-1}([\sec x])\right) is equal to, where [k][k] denotes the greatest integer less than or equal to kk. (a) π2−2\frac{\pi}{2}-2 (b) π2\frac{\pi}{2} (c) π\pi (d) Non-existent

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