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!

Help with showing infinite series converges/diverges

  1. Feb 26, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine whether the series converges or diverges

    1/2(ln(n+1))^2 from n = 1 to infinity

    3. The attempt at a solution

    Cannot find anything to compare this series to that will show it diverges. Ratio and root test both fail. Integral test requires integrating to a non-elementary anti derivative. I have no clue how to find a solution to this.
     
  2. jcsd
  3. Feb 26, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You probably mean [itex]\frac{1}{2 \ln(n+1)^2}[/itex], think about comparing it with [itex]\frac{1}{n}[/itex]. Which do you think is larger for large values of n? Now can you prove it?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Help with showing infinite series converges/diverges
Loading...