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Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

Evaluate lim⁡x→2−x+5x−2\displaystyle\lim_{x \to 2^-}\dfrac{x+5}{x-2}.

  • A

    −∞-\infty

    check_circle
  • B

    00

  • C

    72\tfrac{7}{2}

  • D

    +∞+\infty

Explanation

Numerator →7>0\to 7 > 0. Denominator →0−\to 0^- (from the negative side). Quotient → −∞-\infty.

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