I have got a problem that has been killing me, I have tried a few things but can't figure it out. I know the basic principle behind the Squeeze Theorem(at least I thought I did), but it is still a no go. The problem is stated like this:
Use the Squeeze Theorem to show that the limit of x*cos(50/x)=0 as x approaches 0.
I tried making two different functions, one higher and one lower, by just taking 1 + x*cos(50/x) and 1 - x*cos(50/x) but I can't figure out how to make it work since there is a x in the denominator in the cosine function. Any help would be greatly appreciated.