Help with a tricky limit please.

[mtayab1994]

Homework Statement

Find the limit:

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

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.)

 

[Dansuer]

Do you know l'Hopital's rule?

http://en.wikipedia.org/wiki/L'Hôpital's_rule

 

[mtayab1994]

Do you know l'Hopital's rule?

http://en.wikipedia.org/wiki/L'Hôpital's_rule

yes but without using l'hospital's rule

 

[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.

 

[mtayab1994]

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

 

[Dansuer]

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

 

[mtayab1994]

ok thank you.