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Help with Determining the Limit of the Sequence Quesiton

  1. Apr 2, 2014 #1
    1. The problem statement, all variables and given/known data

    Problem is attached in this post

    2. Relevant equations

    Problem is attached in this post


    3. The attempt at a solution

    Lim n(2^(1/n)-1) as n -> ∞

    Lim (2^(1/n)-1)/(1/n) as n -> ∞ -> 0/0 -> Indeterminate Form -> L'Hopital's Rule

    However, I can't seem to figure out how to get the derivative of the numerator.
     

    Attached Files:

  2. jcsd
  3. Apr 2, 2014 #2

    Dick

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    Homework Helper

    Write 2^(1/n) as e^(log(2)/n). Now use the chain rule to find the derivative.
     
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