1. The problem statement, all variables and given/known data Show that f(x)=x^2sin(1/x) is piecewise continuous in (0,1) 3. The attempt at a solution I'm trying to show continuity in (0,1) so I need to show limit as function approaches any given Xo is the value of the function itself, ie. |X^2sin(1/X) - Xo^2sin(1/Xo)|< eps. Can anyone help from here?