Let f(x)=xsin(1/x2)f(x) = x \sin(1/x^2)f(x)=xsin(1/x2) for x≠0x \neq 0x=0 and f(0)=0f(0)=0f(0)=0. Which is true?
f is differentiable at 0
f is continuous at 0 but not differentiable
f is discontinuous at 0
f is bounded on any interval