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: Algebra of Limits for Series

  1. Oct 26, 2012 #1
    1. Does the series from n=1 to ∞ of (1/2+(-1)n)/n converge?

    2. Am I able to split up the series into Ʃ1/2n + Ʃ(-1)n/n even though they are not convergent? I'm not sure how else to prove for convergence. I have tried all the tests...
  2. jcsd
  3. Oct 26, 2012 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    One of those is convergent. The other is not. So, splitting them up does help.
  4. Oct 26, 2012 #3

    Attached Files:

    • 002.jpg
      File size:
      14.3 KB
  5. Oct 26, 2012 #4
    Thank you very much for the help. Much appreciated
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook