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L'Hôpital's Rule

AP Calculus AB· difficulty 2/5

Evaluate lim⁡x→0sin⁡xx\displaystyle\lim_{x\to 0}\dfrac{\sin x}{x} using L'Hôpital.

  • A

    00

  • B

    11

    check_circle
  • C

    12\tfrac{1}{2}

  • D

    Does not exist

Explanation

0/00/0 form. L'Hôpital: cos⁡x/1→1\cos x/1 \to 1 at x=0x = 0.

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