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## Homework Statement

Determine whether the series converges or diverges.

[tex]\sum (\sqrt {k} - \sqrt {k - 1})^k[/tex]

## Homework Equations

## The Attempt at a Solution

[tex](a_k)^\frac{1}{k} = \sqrt{k} - \sqrt{k - 1} [/tex]

What do I do here..?

[tex]= \frac{1}{\sqrt{k} + \sqrt{k-1}} \to 0 ?[/tex]