- #1

flyingpig

- 2,580

- 1

## Homework Statement

Determine whether the improper integral diverge or converge. If it is convergent, evaluate it with a limit

[tex]\int_{0}^{1}\frac{1}{\sqrt[3]{x}}dx[/tex]

Just from inspection, I thought this was a p-series with 1/3 < 1, but then I noticed the limits of integration is from 0 to 1.

So my question is, is there a way, just from inspection, to notice this is convergent without resorting to any test?