# Help with a tricky limit please.

1. Feb 24, 2012

### mtayab1994

1. The problem statement, all variables and given/known data

Find the limit:

$$\lim_{x\rightarrow-1}\frac{\sqrt{3-x}-x-3}{x+1}$$

3. The attempt at a solution

Any tips for solving a limit like this. I've never dealt with one like so can someone offer some help please.( Without using l'hospital's rule or taylor series.)

Last edited: Feb 24, 2012
2. Feb 24, 2012

### Dansuer

3. Feb 24, 2012

### mtayab1994

4. Feb 24, 2012

### Dansuer

Oh i apologize i did not read that you specified without l"hopital rule.

Try applying the identity $A - B = \frac{A^2 - B^2}{A+B}$ to the numerator.

5. Feb 24, 2012

### mtayab1994

yes but which on is A and which one is B.

6. Feb 24, 2012

### Dansuer

A is $\sqrt{3-x}$ and B is $x+3$

7. Feb 24, 2012

### mtayab1994

ok thank you.