3.2. Break points and their classification

If at any point function not defined either and (or) , the point is called the point of discontinuity of the function, and the function itself is discontinuous at this point.

If a - break point function and finite limits exist and then the point called the break point of the first kind.

Break points of the first kind are divided into:

• points of a removable gap if ;
• jump points if ;

If at least one of the one-sided limits is not finite, then a point there is a break point of the second kind.