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## Homework Statement

Test to see whether the following series converges

[tex] \sum_{n=1}^\infty \sqrt[n]{2}-1 [/tex]

## Homework Equations

All we've done so far is integral test, ratio test, and root tests.

## The Attempt at a Solution

As n approaches infinity, the term apporaches 0, so it may or may not converge.

A ratio test reveals r=1, so it is inconclusive

A root test also gives us 1, so it is inconclusive

I have no idea how i would take the integral of that.

I do know that it diverges, but I have no idea how! I don't know why the prof would give such a hard homework problem.

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