Hi. Could somebody walk me through this one?:

$\displaystyle \lim_{x\rightarrow\infty}{x\,tan(\frac{1}{x})}$

I think that is equal to

$\displaystyle \lim_{x\rightarrow\infty}{\frac{x}{cot(\frac{1}{x} )}}$

Which is of the form inf/inf. However, after two more attempted applications of L'Hs rule, I end up with a horrible mess that seems to be of the form 0*inf/inf, or something weird like that.