Find lim⁡x→∞sin⁡3x+2cos⁡xx2\displaystyle\lim_{x\to\infty}\dfrac{\sin 3x + 2\cos x}{x^2}.

Mathematics

Problem

Find lim⁡x→∞sin⁡3x+2cos⁡xx2\displaystyle\lim_{x\to\infty}\dfrac{\sin 3x + 2\cos x}{x^2}.

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