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Test for convergence/divergence help!

  1. Oct 29, 2009 #1
    1. The problem statement, all variables and given/known data

    test if (1+4^n)/(1+3^n) is convergent or divergent.


    2. Relevant equations



    3. The attempt at a solution

    using the ratio test. i got it equal to 5/4 which is > 1, so it diverges. can someone check this? what other methods are available?
     
  2. jcsd
  3. Oct 29, 2009 #2

    LCKurtz

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    What you have given is a sequence, not a series and the ratio test applies to series convergence. Did you mean to test

    [tex]\sum_{n=1}^{\infty}\frac{1+4^n}{1+3^n}[/tex]

    for convergence? If so the ratio test is appropriate, but I don't get 5/4 for its limit.
     
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