Evaluate ( _ x 0 (1- 2x) 3x x^ 3 ).

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Evaluate lim⁡x→0(1−cos⁡2x)sin⁡3xx3\displaystyle \lim_{x\to 0}\frac{(1-\cos 2x)\sin 3x}{x^{3}}. (a) 1212 (b) 33 (c) 66 (d) 44

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