If \( \lim _{x \rightarrow 0}\left(x^{-3} \sin 3 x+a x^{-2}+b\right) \) exists and is equal to z...

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If \( \lim _{x \rightarrow 0}\left(x^{-3} \sin 3 x+a x^{-2}+b\right) \) exists and is equal to zero, then
-(a) \( a=-3, b=\frac{9}{2} \)
(b) \( a=3, b=\frac{9}{2} \)
(c) \( a=-3, b=\frac{-9}{2} \)
(d) None of these
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