Hi all,

I just have a quick general question regarding limits. Say you have the problem:

$\displaystyle \[\mathop {\lim }\limits_{x \to \infty } \sqrt x {e^{ - 5x}}\]$

My calculator says it's 0, and others have declared similar problems as 0. Looking at it, though, wouldn't you be evaluating $\displaystyle \[\infty \times 0\]$, which would be indeterminate?

Why is it 0?