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L'Hôpital's Rule

AP Calculus AB· difficulty 3/5

Evaluate lim⁡x→∞ln⁡xx\displaystyle\lim_{x\to\infty}\dfrac{\ln x}{x}.

  • A

    ee

  • B

    11

  • C

    00

    check_circle
  • D

    ∞\infty

Explanation

∞/∞\infty/\infty. L'Hôpital: (1/x)/1=1/x→0(1/x)/1 = 1/x \to 0.

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