L'Hôpital's Rule

AP Calculus AB· difficulty 2/5

Evaluate limx01cosxx2\displaystyle\lim_{x\to 0}\dfrac{1 - \cos x}{x^2}.

  • A

    00

  • B

    11

  • C

    1-1

  • D

    12\tfrac{1}{2}

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Explanation

0/00/0. L'Hôpital twice: sinx/(2x)1/2cosx1/2\sin x/(2x) \to 1/2 \cdot \cos x \to 1/2.

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