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## Homework Statement

Determine whether the series [tex]\sum_{n=1}^{\infty} \frac{1}{n+\sqrt{n}}[/tex]

converges or diverges.

## Homework Equations

## The Attempt at a Solution

This is driving me nuts. I get nowhere with the root test or the ratio test. I can think of some larger series that diverge (no good) and some smaller series that converge (also no good). What test would you recommend?