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

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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 0 , then
(A) \( a=-3 \) and \( b=9 / 2 \)
(B) \( a=3 \) and \( b=9 / 2 \)
(C) \( a=-3 \) and \( b=-9 / 2 \)
(D) \( a=3 \) and \( b=-9 / 2 \)
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