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Definition of Limit point
1. Noun. The mathematical value toward which a function goes as the independent variable approaches infinity.
Definition of Limit point
1. Noun. (mathematics analysis of a set) a point which lies in the closure of ''A''\{''x''} of a set ''A''. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Limit Point
Literary usage of Limit point
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Encyclopedia Americana: A Library of Universal Knowledge (1919)
"Segment, Interval, limit point.— By the method of analytic geometry (qv) there
is a correspondence between the totality of real numbers and the points of a ..."
2. American Journal of Mathematics by Johns Hopkins University, American Mathematical Society (1919)
"Every boundary point of a region is a limit point of the exterior of that region.
Proof. Suppose the boundary of the region R contains a point X which is ..."
3. The Americana: A Universal Reference Library, Comprising the Arts and ...edited by Frederick Converse Beach, George Edwin Rines edited by Frederick Converse Beach, George Edwin Rines (1912)
"A point a in every neighborhood of which there are points, distinct from a, of
a set [x] is a limit point of [x]', a either may or may not be a point of the ..."
4. Introduction to Infinitesimal Analysis: Functions of One Real Variable by Oswald Veblen, Nels Johann Lennes (1907)
"A point a is said to be a limit point of a set if there are points of the set,
other than a, in every neighborhood of a. In case of a line neighborhood this ..."
5. A Course in Mathematical Analysis by Edouard Goursat, Earle Raymond Hedrick (1916)
"The origin is a limit point of these poles. Similarly, the function 1 hill Isin-
z/ lias for singular points all the roots of the equation sin (1/z) ..."
6. Theory of Functions of a Complex Variable by Heinrich Burkhardt (1913)
"For example, the limiting value of a convergent sequence of numbers is a limit
point for the numbers belonging to the sequence. As this example shows, ..."
7. Contributions to the Founding of the Theory of Transfinite Numbers by Georg Cantor (1911)
"Every point of P which is not a limit-point of P was called by Cantor an "
isolated " point. Every point, then, of the straight line either is or is not a ..."
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