Determine the value of .

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

Problem

Determine the value of lim⁡x→0+x ln⁡(1x)\displaystyle\lim_{x\to 0^+} x\,\ln\left(\frac{1}{x}\right). (a) ∞\infty (b) 11 (c) 00 (d) −∞-\infty

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