In: Math
2. Sketch a function which satisfies both conditions OR state that there is no such example.
(a) Differentiable at x=0 AND not continuous at x=0
(b) Not differentiable at x=0 AND continuous at x=0
What does it mean for a function to be/not be differentiable at x=0? What does it mean for a function to be/not be continuous at x=0?