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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


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

  5. Apr 21, 2005 #4
    Good to know. Thanks.
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