Limit point of Sets
E.g.
, , is adherent to , so is a limit point , , is not adherent to , so is a not limit point. We call an isolated point in this case.
Isolated point
Remark of Limit Points
Can be used for L’Hospital’s rule when we need to remove point
Limit point of Sequence
Relationship with Subspaces
The following two statements are equivalent:
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In Metric Space
Suppose