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Homework Help: Series Question

  1. Feb 28, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex]\sum_1^{\infty} (1)/(n^3+n+4)[/tex]

    2. Relevant equations

    I have only done problems where I've been finding whether the series converges or if I have been calculating, it's always been a factorable problem.

    3. The attempt at a solution

    Once again, I just need a few steps, I'm not asking anyone to solve it completely for me, but I would appreciate some sort of step-by-step breakdown of what to do. Thank you so much guys!
    Last edited: Feb 28, 2009
  2. jcsd
  3. Feb 28, 2009 #2

    Tom Mattson

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    Staff Emeritus
    Science Advisor
    Gold Member

    What are you supposed to do, find the sum or just determine if it converges?
  4. Feb 28, 2009 #3
    I'm supposed to calculate the sum correct to six decimal places.

    Sorry about that, I was in a hurry to get it posted and forgot to actually put what the question wanted.
  5. Mar 1, 2009 #4


    Staff: Mentor

    It's easy to show by the comparison test that the series converges (compare with [itex]\sum 1/n^3[/itex]).

    For the approximate sum, just start adding terms in the series. When you get two successive partial sums that are the same in the first 6 decimal places, you're home free.
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