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Determining Limits

  • #1

Homework Statement


Determine the limit as x approaches 0 of

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


Homework Equations


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


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?
 

Answers and Replies

  • #2
17
0
May you use taylor series?
 
  • #3
May you use taylor series?
I just found out that I should multiply by an expression to get a sum of cubes (totally forgot about that). =P

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