Sentences with LIMIT-POINT
Check out our example sentences below to help you understand the context.Sentences
1
"In topology, a limit point is a point in a topological space with the property that every neighborhood of the point contains infinitely many points of the space."
2
"The set of all limit points of a given set is called its derived set."
3
"In real analysis, a limit point of a sequence is a value that the terms of the sequence get arbitrarily close to as the sequence progresses."
4
"The point 0 is a limit point of the sequence {1/n} as every neighborhood of 0 contains infinitely many terms of the sequence."
5
"In complex analysis, a limit point is a point towards which a sequence of numbers in a complex space converges."
6
"The number infinity is a limit point of the sequence {n} as the terms of the sequence grow without bound."
7
"A limit point need not belong to the set itself; it can be an external point."
8
"In graph theory, a limit point is a symmetric counterpart of an accumulation point in directed graphs."
9
"A limit point is also known as an adherent point or a cluster point."
10
"If every point in a set is a limit point, then the set is said to be dense in itself."
11
"In Euclidean geometry, a limit point is a point that can be obtained as the limit of a sequence of distinct points."
12
"The circle in the complex plane has infinitely many limit points as it contains all points on its circumference."
13
"A limit point can be either isolated or non-isolated, depending on its nature within a set."
14
"In calculus, the existence of a limit point helps determine the convergence or divergence of a sequence or function."
15
"If a set has no limit points, then it is called a closed set in topological spaces."
16
"The concept of limit points extends to higher dimensions in multivariable calculus and topology."
1
"In mathematics, a limit point is a point that is arbitrarily close to a given set of points."
2
"The set of limit points of a sequence is called the limit set."
3
"Every nonempty subset of the real numbers with an upper bound has a least upper limit point."
4
"A limit point does not have to belong to the set it is a limit of."
5
"The limit point of a function can be found by evaluating the limit as x approaches a specific value."
6
"A limit point may or may not be an accumulation point."
7
"In topology, a limit point is often used to define closed sets."
8
"The set of limit points of a set is closed."
9
"A limit point of a sequence may or may not be unique."
