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Series Test

  1. Oct 29, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\sum \frac{(-1)^{n+1}(n^2+4)^{1/3}}{(n^5+1)^{1/2}}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    I got that it converges, because the limit is 0
    Is that right?
  2. jcsd
  3. Oct 30, 2008 #2


    Staff: Mentor

    You apparently are using the alternating series test. Have you established all of the following?
    The a_n's are all positive.
    a_n >= a_(n+1) for all n.
    lim a_n = 0, as n approaches infinity.
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