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Right-Continuous Function


A right-continuous function is a real-valued function f:I->R on an interval I whose right-hand limit equals its value at each point a in I having points of I to its right:

 lim_(x->a^+)f(x)=f(a).

The limit is taken with x in I (Kreider and Lahr 2002, p. 2). When I has a right endpoint belonging to I, this condition imposes no additional requirement there.


See also

Continuous Function, Limit

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References

Kreider, D. and Lahr, D. "Continuity." Dartmouth College, p. 2, 2002. https://math.dartmouth.edu/~m3cod/klbookLectures/205unit/cont.pdf.

Cite this as:

Weisstein, Eric W. "Right-Continuous Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Right-ContinuousFunction.html

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