If exists and is equal to zero

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

If lim⁡x→0(x−3sin⁡3x+ax−2+b)\lim_{x\to0}\left(x^{-3}\sin3x+ax^{-2}+b\right) exists and is equal to zero, the value of a+2ba+2b is

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