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Calculus, all content (2017 edition)

Course: Calculus, all content (2017 edition) > Unit 1

Lesson 20: Limits at infinity (horizontal asymptotes)
Math
Calculus, all content (2017 edition)
Limits and continuity
Limits at infinity (horizontal asymptotes)
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Limits at infinity of quotients with square roots

AP.CALC: LIM‑2 (EU), LIM‑2.D (LO), LIM‑2.D.3 (EK), LIM‑2.D.4 (EK), LIM‑2.D.5 (EK)
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Problem

Find the limit as x approaches negative infinity.
limit, start subscript, x, \to, minus, infinity, end subscript, start fraction, square root of, 4, x, start superscript, 4, end superscript, minus, x, end square root, divided by, 2, x, squared, plus, 3, end fraction, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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