Asymptotes and Limits at Infinity

AP Calculus AB· difficulty 2/5

Evaluate limxx4x2x4+3\displaystyle\lim_{x\to\infty}\dfrac{x^4 - x}{2x^4 + 3}.

  • A

    00

  • B

    11

  • C

    \infty

  • D

    12\tfrac{1}{2}

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Explanation

Same degree (4); leading coefficient ratio: 1/21/2.

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