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Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

Evaluate lim⁡x→2+1x−2\displaystyle\lim_{x \to 2^+}\dfrac{1}{x - 2}.

  • A

    −∞-\infty

  • B

    11

  • C

    +∞+\infty

    check_circle
  • D

    00

Explanation

As x→2+x \to 2^+, x−2→0+x - 2 \to 0^+, so 1/(x−2)→+∞1/(x-2) \to +\infty.

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