The value of \( \lim _{x \rightarrow 0^{+}} \frac{\cos ^{-1}\left(x-[x]^{2}\right) \cdot \sin ^{-1}\left(x-[x]^{2}\right…

The value of \( \lim _{x \rightarrow 0^{+}} \frac{\cos ^{-1}\left(x-[x]^{2}\right) \cdot \sin ^{-1}\left(x-[x]^{2}\right)}{x-x^{3}} \), where \( [x] \) denotes the greatest integer \( \leq x \) is

[JEE Main 2021, 17 Mar (Shift 1)]