Prove that .

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

Problem

Prove that lim⁡x→∞sin⁡x cos⁡2x sin⁡3xx3=0\displaystyle\lim_{x\to\infty}\dfrac{\sin x\, \cos 2x\, \sin 3x}{x^3}=0.

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