Let . What is…

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

Problem

Let g(x)=x2(1−cos⁡1x)g(x)=x^{2}\bigl(1-\cos\dfrac{1}{x}\bigr). What is lim⁡x→∞g(x)\displaystyle\lim_{x\to\infty} g(x)? (a) 00 (b) ∞\infty (c) 12\dfrac12 (d) 11

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