Which statement about the function f(x)=xsin(1/x)f(x) = x\sin(1/x)f(x)=xsin(1/x) for x≠0,f(0)=0x \neq 0, f(0)=0x=0,f(0)=0 is true?
Continuous at x=0x=0x=0, Differentiable at x=0x=0x=0
Continuous at x=0x=0x=0, Not differentiable at x=0x=0x=0
Discontinuous at x=0x=0x=0
Differentiable, but not continuous at x=0x=0x=0