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Discontinuity
For a value
, let
=
(the limit from the left) and
=
(the limit from the right).
If
L
^{-}
=
L
^{+}
=
, the function is continuous at
.
If
L
^{-}
=
L
^{+}
≠
, the function has a removable discontinuity at
.
If
L
^{-}
≠
L
^{+}
, and both values are finite, the function has a jump discontinuity at
.
If
L
^{-}
≠
L
^{+}
, and one or both values is infinite, the function has an infinite discontinuity at
. This is also called an essential discontinuity.
Contributed by:
Ed Pegg Jr
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Discontinuity
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Discontinuous
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Discontinuity
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/Discontinuity/
Contributed by:
Ed Pegg Jr
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