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Homework Help: Limit Question (Using logarithm and L'Hopital's Rule)

  1. Feb 5, 2010 #1
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Feb 5, 2010 #2
    Note that ln(a/b) != ln a/ln b
     
  4. Feb 5, 2010 #3
    Last edited by a moderator: May 4, 2017
  5. Feb 7, 2010 #4
    You're going about it completely the wrong way. Try moving the limit around in the original expression.
     
  6. Feb 8, 2010 #5
    I apologize but what do you mean and how? Can you show some steps it's been a while and due date is coming up soon and I still haven't figured it out!
     
  7. Feb 9, 2010 #6
    Remember that:

    [tex]e = \lim_{n\to\infty} \left( 1 + \frac{1}{n} \right)^n[/tex]

    by definition. Also remember the laws for manipulating limits.
     
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