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!

Series convergence basic question

  1. Nov 6, 2009 #1
    Hi,

    assume sigma(x(n)) is an absolutly convergent series and that y(n)=O(x(n)), then can we conclude that sigma(y(n)) is absolutly convergent?


    thanks
     
  2. jcsd
  3. Nov 6, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes. That is pretty close to being the definition of "O".
     
  4. Nov 7, 2009 #3
    thanks again
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Series convergence basic question
  1. Convergent series (Replies: 1)

Loading...