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: 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


    User Avatar
    Science Advisor
    Homework Helper

    Write 2^(1/n) as e^(log(2)/n). Now use the chain rule to find the derivative.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted