If exists and is equal to zero

MATHEMATICS · Single correct · 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}\sin 3x+ax^{-2}+b\right) exists and is equal to zero, then (1) a=−3, b=9a=-3,\ b=9 (2) a=−3, b=2a=-3,\ b=2 (3) a=−3, b=−92a=-3,\ b=-\frac{9}{2} (4) None of these

Related theory

Browse the problem library