The value of \( \lim _{x \rightarrow 0^{+}} \frac{\cos ^{-1}\left(x-[x]^{2}\right) \cdot \sin ^{...
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
(a) \( \pi \)
(b) 0
(c) \( \frac{\pi}{4} \)
(d) \( \frac{\pi}{2} \)
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