For nonzero constants ,

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

Problem

For nonzero constants aa, bb, and cc, evaluate lim⁡x→0(1−cos⁡(ax))sin⁡(bx)x2tan⁡(cx)\lim_{x\to 0}\frac{(1-\cos(ax))\sin(bx)}{x^{2}\tan(cx)} in terms of aa, bb, and cc.

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