Types of Discontinuities

Having seen examples of both continuous and discontinuous functions, it is useful to classify how a discontinuity happens, since different types call for different language and different remedies. Three types are studied in the next three sections: a jump discontinuity (8.1.7), where the function steps abruptly from one finite value to another; a removable discontinuity (8.1.8), where a single missing or wrong value can be patched to restore continuity; and an **infinite discontinui …