Essential Discontinuity
Any discontinuity that is
not
removable. That
is, a place where a graph is
not connected and cannot be made connected simply by filling in
a single point. Step
discontinuities and vertical asymptotes are
two types of essential discontinuities.
Formally, an essential
discontinuity is a discontinuity at
which the limit of the function does not exist.

See
also
Continuous function
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