CK-12-Calculus

(Marvins-Underground-K-12) #1

3.5. Limits at Infinity http://www.ck12.org


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Review Questions



  1. Use your graphing calculator to estimate limx→+∞[x[ln(x+ 3 )−ln(x)]].

  2. Use your graphing calculator to estimate limx→+∞ln( 1 +x 2 ex).


In problems #3–10, use L’Hospital’s Rule to compute the limits, if they exist.



  1. limx→ 3 xx^2 −− 39

  2. limx→ 0


√ 1 +x−√ 1 −x
x


  1. limx→+∞ln√(xx)

  2. limx→+∞x^2 e−^2 x

  3. limx→ 0 ( 1 −x)^1 x

  4. limx→ 0 ex−x^12 −x

  5. limx→−∞ex−x^12 −x

  6. limx→∞x−^14 ln(x)

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