1.
The value of limx0+cos1(x[x]2)sin1(x[x]2)xx3\displaystyle \lim_{x \to 0^+} \frac{\cos^{-1}(x - [x]^2) \cdot \sin^{-1}(x - [x]^2)}{x - x^3}, where [x][x] denotes the greatest integer x\le x, is