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Homework Help: Series + integral

  1. Aug 16, 2008 #1
    1. The problem statement, all variables and given/known data

    Hello.

    I need to to investigate (I hope I said that right :blushing:) the converge of this function, any idea guys?

    2. Relevant equations



    3. The attempt at a solution
     

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  3. Aug 16, 2008 #2

    HallsofIvy

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    I would recommend using the "ratio test". That will lead to an integral from 1/(n+1) to 1/n and you need to show that the limit of that integral, as n goes to infinity, is less than 1.
     
  4. Aug 16, 2008 #3

    Gib Z

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    [tex]\lim_{n\to \infty} \frac{ \int^{1/{n+1}}_0 \frac{x^{1/4}}{1+x^2} dx}{ \int^{1/{n}}_0 \frac{x^{1/4}}{1+x^2} dx}[/tex].

    I'm not sure how that gives an integral from 1/(n+1) to 1/n =S

    EDIT: Dont know whats wrong with the latex.
     
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