1. Not finding help here? Sign up for a free 30min 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!

Strange infinite series problem using integral test.

  1. Apr 14, 2008 #1
    1. The problem statement, all variables and given/known data
    I need to show that


    from n=27 to n=10^(100,000)

    is approximately equal to 8.1
  2. jcsd
  3. Apr 14, 2008 #2
    i did the u substitution, u =nlnn

    and i get


    which just becomes [lnu]
    which becomes: [ln(lnlnn)] evaluated from 27 to 10^100,000
  4. Apr 14, 2008 #3


    User Avatar

    is the denominator of your summation n*ln(n)*ln(ln(n))?
  5. Apr 15, 2008 #4
    yea it is
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?