A Level

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Evaluate lim⁡x→05x−1x\displaystyle\lim_{x\to 0}\frac{5^x-1}{x}. (a) 5ln⁡55\ln 5 (b) log⁡105\log_{10}5 (c) ln⁡5\ln 5 (d) ln⁡55\dfrac{\ln 5}{5}

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