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MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The lim⁡x→π2cot⁡x−cos⁡x(π−2x)3\lim_{x\to\frac{\pi}{2}}\frac{\cot x-\cos x}{(\pi-2x)^3} equals (1) 14\frac{1}{4} (2) 124\frac{1}{24} (3) 116\frac{1}{16} (4) 18\frac{1}{8}

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