The value of

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The value of

\displaystyle\lim_{x\to0}\sin^{-1}\{x\}

, where

\{\cdot\}

denotes the fractional part, is: (1)

0

(2)

\frac{\pi}{2}

(3) None of these (4) Does not exist