What is the limit of xsin(1/x) as x goes to infinity? | Yahoo Answers
xsin(1/x) is the equivalent of saying sin(1/x)/(1/x), if we take the limit as x goes to infinity, we get sin(1/∞)/(1/∞), this is of course sin(0) over 0, or 0/0 which equals 0. unfortunately it is not that simple, the limit is not zero, it is however (by ...