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Limit of (E^x+1)^1/x

  1. Jun 12, 2009 #1
    1. The problem statement, all variables and given/known data

    Lim (E^x-1)^(1/x)


    2. Relevant equations

    Lim (1+1/x)^x=E

    3. The attempt at a solution

  2. jcsd
  3. Jun 12, 2009 #2


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    If you want to use l'Hopital you will have to take the logarithm of the limit first. Remember [itex]e^{\ln x} =x[/itex] and don't forget to show us your work!
    Last edited: Jun 12, 2009
  4. Jun 12, 2009 #3
    Thank you very much for your advice.

    I'm still unsure how to approach this one. Apply Ln() to the entire limit?
  5. Jun 12, 2009 #4


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    Yes write the limit as [itex]\exp(\ln[(e^x-1)^{(1/x)}])[/itex].
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