AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

lim⁡x→0log⁡(a+x)−log⁡ax+klim⁡x→elog⁡x−1x−e=1\lim_{x \rightarrow 0} \frac{\log(a+x) - \log a}{x} + k \lim_{x \rightarrow e} \frac{\log x - 1}{x - e} = 1 , then (a) k=e(1−1a)k = e\left(1 - \frac{1}{a}\right) (b) k=e(1+a)k = e(1 + a) (c) k=e(2−a)k = e(2 - a) (d) The equality is not possible

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