Explain, in at most two sentences, why…

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

Problem

Explain, in at most two sentences, why lim⁡x→0x3cos⁡ ⁣(1x)=0\displaystyle\lim_{x\to 0} x^{3}\cos\!\left(\tfrac{1}{x}\right)=0.

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