6.3. Discontinuous Functions

Definition 6.3.3: Classification of Discontinuities

Suppose f is a function with domain D and c D is a point of discontinuity of f.
  1. if f(x) exists, then c is called removable discontinuity.
  2. if f(x) does not exist, but both f(x) and f(x) exit, then f is called a discontinuity of the first kind, or jump discontinuity
  3. if either f(x) or f(x) does not exist, then c is called a discontinuity of the second kind, or essential discontinuity.
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