How do you find the points of continuity and the points of discontinuity for a function?
A simple statement can be made as follows:
The points of continuity are points where a function exists, that it has some real value at that point.
Since the question emanates from the topic of 'Limits' it can be further added that a function exist at a point 'a' if
The points of discontinuity are that where a function does not exist or it is undefined.