Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

For f(x)=2x+13x4f(x) = \dfrac{2x + 1}{3x - 4}, the horizontal asymptote is

  • A

    y=32y = \tfrac{3}{2}

  • B

    y=14y = \tfrac{1}{4}

  • C

    y=0y = 0

  • D

    y=23y = \tfrac{2}{3}

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Explanation

Same degree → ratio of leading coefficients: 2/32/3. Horizontal asymptote y=2/3y = 2/3.

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