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

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)]