If , where , then has the…

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

Problem

If f(x)=∫2sin⁡x−sin⁡2xx3 dxf(x)=\int\frac{2\sin x-\sin2x}{x^3}\,dx, where x≠0x\ne0, then lim⁡x→0f′(x)\lim_{x\to0}f'(x) has the value (a) 0 (b) 1 (c) 2 (d) Not defined

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