| 释义 |
Definition of limit point in English: limit pointnoun Mathematics A point for which every neighbourhood contains at least one point belonging to a given set. 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 pointnoun Mathematics A point for which every neighborhood contains at least one point belonging to a given set. 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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