The graph of the function has a unique tangent at

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

Problem

The graph of the function y=f(x)y=f(x) has a unique tangent at (e0,0)(e^0,0). Then lim⁡x→e0log⁡(1+f(x))−sin⁡(f(x))3f(x)\lim_{x\to e^0}\frac{\log(1+f(x))-\sin(f(x))}{3f(x)} equals

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