f(x) is a piecewise function defined as:
Discuss the continuity and differentiability of this funtion at x=1 and x=3
The Attempt at a Solution
At x=3, this function is continuous but not differentiable, being a modulus funtion. But how is is continuous and differentiable at x=1? Putting limit x=1 in the above funtion doesnt give you the same value for both the parts!!!!!