Definition of limit point in English:

limit point

noun

Mathematics

A point for which every neighbourhood contains at least one point belonging to a given set.
〔数〕极限点
Example sentencesExamples
- Part of the sequence may tend to one limit point, and others to other limit points.
- A point is a limit point of a set S, if, for any neighborhood N there are points in S that are within N (not including the limit point itself).
- A point x is a limit point of a set C if every interval centered on x contains at least one point of C, different from x.
- So if a set has no limit points, it must be closed.
- The tangent vector on the curve at this limit point can also be directly calculated, by much the same procedure.

Definition of limit point in US English:

limit point

noun

Mathematics

A point for which every neighborhood contains at least one point belonging to a given set.
〔数〕极限点
Example sentencesExamples
- So if a set has no limit points, it must be closed.
- A point is a limit point of a set S, if, for any neighborhood N there are points in S that are within N (not including the limit point itself).
- A point x is a limit point of a set C if every interval centered on x contains at least one point of C, different from x.
- The tangent vector on the curve at this limit point can also be directly calculated, by much the same procedure.
- Part of the sequence may tend to one limit point, and others to other limit points.

单词	limit point
释义	Definition of limit point in English: limit point noun Mathematics A point for which every neighbourhood contains at least one point belonging to a given set. 〔数〕极限点 Example sentencesExamples Part of the sequence may tend to one limit point, and others to other limit points. A point is a limit point of a set S, if, for any neighborhood N there are points in S that are within N (not including the limit point itself). A point x is a limit point of a set C if every interval centered on x contains at least one point of C, different from x. So if a set has no limit points, it must be closed. The tangent vector on the curve at this limit point can also be directly calculated, by much the same procedure. Definition of limit point in US English: limit point noun Mathematics A point for which every neighborhood contains at least one point belonging to a given set. 〔数〕极限点 Example sentencesExamples So if a set has no limit points, it must be closed. A point is a limit point of a set S, if, for any neighborhood N there are points in S that are within N (not including the limit point itself). A point x is a limit point of a set C if every interval centered on x contains at least one point of C, different from x. The tangent vector on the curve at this limit point can also be directly calculated, by much the same procedure. Part of the sequence may tend to one limit point, and others to other limit points.
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