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Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

The graph has both branches going to +∞+\infty near x=2x = 2. What is lim⁡x→2f(x)\displaystyle\lim_{x\to 2} f(x)?

  • A

    +∞+\infty

    check_circle
  • B

    Does not exist (finite limit)

  • C

    −∞-\infty

  • D

    22

Explanation

Both one-sided limits diverge to +∞+\infty, so the two-sided limit is +∞+\infty (an infinite "limit").

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