1. Not finding help here? Sign up for a free 30min 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!

Limit of a function

  1. May 8, 2006 #1
    could anyone tell me if this have a limit:
    lim ((exp(x)-1-x)^2)/(x^2 - ln(x^2+1)))
    x->0

    My conclusion is that this doesn't have a limit. Tried everything, this is an problem that i run into.
     
    Last edited: May 8, 2006
  2. jcsd
  3. May 8, 2006 #2
    Have you tried applying L'Hospital's?
     
  4. May 9, 2006 #3

    VietDao29

    User Avatar
    Homework Helper

    Have you tried using Maclaurin Series to solve this problem? :)
    Hint:
    The expansion of exp(x) arround x = 0 is:
    [tex]e ^ x = 1 + x + \frac{x ^ 2}{2} + ...[/tex]
    The expansion of ln(x + 1) arround x = 0 is:
    [tex]\ln (x + 1) = x - \frac{x ^ 2}{2} + ...[/tex]
    So what's the expansion of ln(x2 + 1) arround x = 0?
    Can you go from here? :)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Limit of a function
  1. Limit of Functions (Replies: 1)

  2. Limit of a function (Replies: 7)

  3. Limit of a function (Replies: 7)

  4. Limits and functions (Replies: 16)

  5. Limit of function (Replies: 6)

Loading...