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drofenaz

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## Homework Statement

Use the Comparison Theorem to determine whether the integral is convergent or divergent.

[itex]\int_{0}^{1}\frac{e^{-x}}{\sqrt{x}}[/itex]

## Homework Equations

## The Attempt at a Solution

[itex]\int_{0}^{1}\frac{e^{-x}}{\sqrt{x}} \leq \int_{0}^{1}\frac{1}{x^{\frac{1}{2}}}[/itex]

Because p<1, the integral is divergent. Wolfram, however, is giving me a finite answer, meaning the integral is actually convergent. Where am I going wrong?

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