Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Trouble with the following limit

  1. Apr 21, 2005 #1
    I'm having trouble with the following limit:

    [tex]\lim_{x \rightarrow 0} \frac{1 - \sqrt{1 - 4x^2}}{x^2}[/tex]

    At the back of the book (Apostol Volume I), it says the answer is 1/2, but I get 2. Can anyone clarify?

  2. jcsd
  3. Apr 21, 2005 #2
    multiply by 1 :
    [tex]\frac{1 + \sqrt{1-4x^2}}{1 + \sqrt{1-4x^2}}[/tex]

    Seems to me you are correct
  4. Apr 21, 2005 #3


    User Avatar
    Science Advisor
    Homework Helper

    Yes,even l'Hôpital approves you guys.A typo in the book,nothing sensational.

  5. Apr 21, 2005 #4
    Good to know. Thanks.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Trouble with the following limit
  1. Trouble with Limits (Replies: 6)