1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook