definition of discontinuous
discontinuous-not continuing without interruption in time or space; discontinuous applause; the landscape was a discontinuous mosaic of fields and forest areas; he received a somewhat haphazard and discontinuous schooling. noncontinuous.
home / study / math / calculus / definitions / continuity and discontinuity. A function is continuous if it can be drawn without picking up the pencil; otherwise, it is discontinuous. Function f(x) is continuous if , meaning that the limit of f(x) as x approaches a from either direction is equal to f(a), as long as a is in the domain of f(x).