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## Homework Statement

Is the series convergent or divergent? [tex]\sum_{n=0}^{\infty}{\frac{1}{\sqrt{n+1}}}[/tex]

## Homework Equations

I can use any test but wolfram alpha says that it is divergent by comparison test.

## The Attempt at a Solution

How do I apply comparison test?

I can compare it to: [tex]\sum _{ n=0 }^{ \infty }{ \frac { 1 }{ \sqrt { n } } }[/tex] but the second series is greater than the series in the question and the second series is divegent. :(