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Squeeze Theorem

AP Calculus AB· difficulty 3/5

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

  • A

    Oscillates — DNE

  • B

    00

    check_circle
  • C

    11

  • D

    ∞\infty

Explanation

∣sin⁡x/x∣≤1/∣x∣→0|\sin x/x| \le 1/|x| \to 0. Squeeze gives the limit 00.

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