(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

3. 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.

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# Help: Proving the tending of an integral

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