A limit point may refer to any limit (limit of a sequence, limit of a function, limit of a filter, limit of a net). Otherwise it refers to a limit point of a set, also called accumulation point, of cluster point

Mathematics

Limit point of a set

• Limit point of a set − Also called a cluster point or accumulation point of a set.

Limit of a sequence/net/filter

For nets and filters, "limit point" often refers to a point that it converges to.

• Limit of a filter − Not to be confused with a cluster or accumulation point of a filter
• Limit of a net − Not to be confused with a cluster or accumulation point of a net
• Limit of a sequence – Value to which tends an infinite sequence − Not to be confused with a cluster or accumulation point of a sequence

Limit point of a function

For functions, "limit point" often refers to a point that it converges to.

• Limit of a function – Point to which functions converge in topology
• Limit point of a function along a filter or Limit of a function with respect to a filter − A generalization of "limit of a function".