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Homework Help: Help with a tricky limit please.

  1. Feb 24, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the limit:

    [tex]\lim_{x\rightarrow-1}\frac{\sqrt{3-x}-x-3}{x+1}[/tex]




    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. jcsd
  3. Feb 24, 2012 #2
  4. Feb 24, 2012 #3
  5. Feb 24, 2012 #4
    Oh i apologize i did not read that you specified without l"hopital rule.

    Try applying the identity [itex] A - B = \frac{A^2 - B^2}{A+B}[/itex] to the numerator.
     
  6. Feb 24, 2012 #5
    yes but which on is A and which one is B.
     
  7. Feb 24, 2012 #6
    A is [itex]\sqrt{3-x}[/itex] and B is [itex]x+3[/itex]
     
  8. Feb 24, 2012 #7
    ok thank you.
     
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