Limit of x ln x as x to 0+

MediumCalculus~4m

Evaluate lim⁡x→0+xln⁡x\lim_{x\to 0^+} x\ln x.

Show hints (2)+
  1. Convert 0⋅∞0\cdot\infty to a quotient.
  2. Write it as ln⁡x/(1/x)\ln x / (1/x) and apply L'Hôpital.

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