# Trouble with the following limit

1. Apr 21, 2005

### devious_

I'm having trouble with the following limit:

$$\lim_{x \rightarrow 0} \frac{1 - \sqrt{1 - 4x^2}}{x^2}$$

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

Thanks.

2. Apr 21, 2005

### joeboo

multiply by 1 :
$$\frac{1 + \sqrt{1-4x^2}}{1 + \sqrt{1-4x^2}}$$

Seems to me you are correct

3. Apr 21, 2005

### dextercioby

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

Daniel.

4. Apr 21, 2005

### devious_

Good to know. Thanks.