AP

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Find lim⁡x→0x2sin⁡(1x)⋅sin⁡(3x)3x\displaystyle\lim_{x\to0}x^2\sin\left(\dfrac1x\right)\cdot\dfrac{\sin(3x)}{3x}. (a) 33 (b) 00 (c) Does not exist (d) 11

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