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## Homework Statement

Does the infinite series [tex]\sum_{n=1}^{\infty}(\frac{1}{n^(1 + (\frac{1}{n}))})[/tex] converge?

## Homework Equations

Power series [tex]\sum_{n=1}^{\infty}\frac{1}{n^p}[/tex]

## The Attempt at a Solution

I used the fact that for a power series, if p>1 the series will converge.

Since [tex]{n^(1+\frac{1}{n})}[/tex] will always be greater than n, the series will converge.

Is this correct? If not, can someone lead me in the right direction please?