Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

Evaluate limx3x2+5x27\displaystyle\lim_{x \to \infty}\dfrac{3x^2 + 5}{x^2 - 7}.

  • A

    00

  • B

    \infty

  • C

    33

    check_circle
  • D

    37\tfrac{3}{7}

Explanation

Same degree top/bottom: ratio of leading coefficients = 3/1=33/1 = 3.

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