Series + integral

1. Aug 16, 2008

asi123

1. The problem statement, all variables and given/known data

Hello.

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

2. Relevant equations

3. The attempt at a solution

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2. Aug 16, 2008

HallsofIvy

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.

3. Aug 16, 2008

Gib Z

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

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.