Improper -- How do i do this? I can't get started with the following improper limits: lim as x approaches infinity of (x * sin (1/x)) I get this is in the form 0 * infinity, but when I move x to the bottom, and do l'hopital, nothing gets simpler. And if you have a chance, what is the lim as x approaches infinity of (cos x)/x ? I don't know what the limit of cos (infinity) is , so I can't get started. Thanks.