Determine the value of .

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

Problem

Determine the value of lim⁡x→0sin⁡3x (1−cos⁡5x)x3\displaystyle\lim_{x\to 0}\frac{\sin 3x\,\left(1-\cos 5x\right)}{x^{3}}. (a) 7575 (b) 252\dfrac{25}{2} (c) 752\dfrac{75}{2} (d) 754\dfrac{75}{4}

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