Therefore, the given function can be rewritten as
The given function f is defined at all the points of the real line. Let c be a point on the real line.
Case I:
Therefore, f is continuous at all points x < 0
Case II:
It is observed that the left and right hand limit of f at x = 0 do not coincide. Therefore, f is not continuous at x = 0
Therefore, f is continuous at all points x, such that x > 0 Hence, x = 0 is the only point of discontinuity of f.
