- #1

Beowulf2007

- 17

- 0

## Homework Statement

Given the integral [tex]f(t) = \int_{t}^{2t} e^{-x^2} dx[/tex]

How do I then prove that f(t) = 0 if t tends to infinity?

## Homework Equations

## The Attempt at a Solution

I can that if I make t goes from minus infinity to zero, then the limit will tend to 1, but when making it tend to infinity then I get a limit which is zero.

But this cannot be proof enough can it?

Cheers,

Beowulf.