One of the mysteries of the English language finally explained.
A point for which every neighbourhood contains at least one point belonging to a given set.
- ‘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).’
- ‘Part of the sequence may tend to one limit point, and others to other limit points.’
- ‘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.’
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