Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

As xx \to \infty, the curve approaches the dashed horizontal line y=2y = 2. So

  • A

    limxf(x)=\lim_{x\to\infty} f(x) = \infty

  • B

    Limit doesn't exist

  • C

    limxf(x)=2\lim_{x\to\infty} f(x) = 2

    check_circle
  • D

    limxf(x)=0\lim_{x\to\infty} f(x) = 0

Explanation

Horizontal asymptote at y=2y = 2 → limit =2= 2.

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