Using comparison theorem to show if an integral is convergent or divergent

[spaniks]

Homework Statement

use the comparison theorem to show that the integral of e^(-x^2) from 0 to infinity is convergent.

Homework Equations

None

The Attempt at a Solution

In class we have never dealt with using the comparison theorem with the exponential function so I was not sure what I function I would compare it to in order to solve this problem. Could I compare it to something like e^(-x)?

 

[LCKurtz]

Homework Statement

use the comparison theorem to show that the integral of e^(-x^2) from 0 to infinity is convergent.

Homework Equations

None

The Attempt at a Solution

In class we have never dealt with using the comparison theorem with the exponential function so I was not sure what I function I would compare it to in order to solve this problem. Could I compare it to something like e^(-x)?

Sure. Just show that is a larger integral which converges.