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Fungrim entry: afd5ca

Symbol: RightLimit limxa+f(x)\lim_{x \to {a}^{+}} f(x) Limiting value, from the right
This operator can be called with three or four arguments.
RightLimit(f(x), For(x, a)), rendered as limxa+f(x)\lim_{x \to {a}^{+}} f(x), is equivalent to Limit(f(x), For(x, a), Element(x, OpenInterval(a, Infinity))).
RightLimit(f(x), For(x, a), P(x)), rendered as limxa+P(x)f(x)\lim_{x \to {a}^{+}P(x)} f(x), is equivalent to Limit(f(x), For(x, a), And(Element(x, OpenInterval(a, Infinity)), P(x))).
The expression For(x, a) declares x as a locally bound variable within the scope of the arguments to this operator.
Definitions:
Fungrim symbol Notation Short description
RightLimitlimxa+f(x)\lim_{x \to {a}^{+}} f(x) Limiting value, from the right
Limitlimxaf(x)\lim_{x \to a} f(x) Limiting value
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("afd5ca"),
    SymbolDefinition(RightLimit, RightLimit(f(x), For(x, a)), "Limiting value, from the right"),
    Description("This operator can be called with three or four arguments."),
    Description(SourceForm(RightLimit(f(x), For(x, a))), ", rendered as", RightLimit(f(x), For(x, a)), ", is equivalent to", SourceForm(Limit(f(x), For(x, a), Element(x, OpenInterval(a, Infinity)))), "."),
    Description(SourceForm(RightLimit(f(x), For(x, a), P(x))), ", rendered as", RightLimit(f(x), For(x, a), P(x)), ", is equivalent to", SourceForm(Limit(f(x), For(x, a), And(Element(x, OpenInterval(a, Infinity)), P(x)))), "."),
    Description("The expression", SourceForm(For(x, a)), "declares", SourceForm(x), "as a locally bound variable within the scope of the arguments to this operator."))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-10-05 13:11:19.856591 UTC