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Homework Help: Alternating Series Test Fails

  1. Apr 4, 2013 #1
    1. The problem statement, all variables and given/known data
    determine either absolute convergence, conditional convergence, or divergence for the series.

    2. Relevant equations
    [itex]\displaystyle \sum^{∞}_{n=1} (-1)^n \frac{6n^8 + 3}{3n^5 + 3} [/itex]

    3. The attempt at a solution
    I cannot use the alternating series test since the function is increasing not decreasing.What should i do next?
  2. jcsd
  3. Apr 4, 2013 #2


    Staff: Mentor

    Since the sequence (apart from the (-1)n factor) is increasing, doesn't that give you a hint as to what the series is doing? It might help to write a few terms in the series.
  4. Apr 4, 2013 #3
    can i use the divergence test?
  5. Apr 4, 2013 #4
    Yep, it diverges since its terms do not approach zero.
  6. Apr 4, 2013 #5
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