1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Determining Limits

  1. Apr 6, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine the limit as x approaches 0 of

    f(x) = [(1+x)1/2 - 1] / [(1+x)1/3 - 1]


    2. Relevant equations
    I am not allowed to use L'Hopital's Rule.


    3. The attempt at a solution
    I multiplied by the conjugate of the numerator and got a nasty denominator that I cannot simplify nicely. Can someone give me a lead?
     
  2. jcsd
  3. Apr 6, 2010 #2
    May you use taylor series?
     
  4. Apr 6, 2010 #3
    I just found out that I should multiply by an expression to get a sum of cubes (totally forgot about that). =P

    (Thread can be closed now.)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook