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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


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

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  5. Oct 26, 2012 #4
    Thank you very much for the help. Much appreciated
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