During class today we started covering some stuff that had me totally lost. We were covering The squeeze theorem and I was doing really good up until

lim xsin 1/x

I haven't the faintest idea what he did or how to repeat it. Can anyone give me a thorough explanation of this? The guy speaks terrible english and after his very brief run through of it simply told us to do

lim x^2 sin 1/x

lim x^2 cos 1/x

at home and know how to do them for tomorrows quiz.

So any advise on where to begin with those would be awesome. I think i'm mostly lost bc I don't remeber the trig functions i need. (like tanx=sinx/cosx). But I may be way off. Help