- #1

Niles

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## Homework Statement

Determine whether the series converges:

[tex]

\sum\limits_{n = 2}^{\inf } {\frac{{( - 1)^n (n^2 + 1)^{1/2} }}{{n\ln (n)}}}

[/tex]

## The Attempt at a Solution

Which test must I use? I thought of using the integral test, but it seems a little too hard. Are there other possibilities?