L'Hôpital's Rule

AP Calculus AB· difficulty 3/5

Evaluate limxx2ex\displaystyle\lim_{x\to\infty}\dfrac{x^2}{e^x}.

  • A

    11

  • B

    \infty

  • C

    00

    check_circle
  • D

    ee

Explanation

Apply L'Hôpital twice: 2x/ex2/ex02x/e^x \to 2/e^x \to 0.

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