Limit (mathematics)

* Limit of a sequence
** Sequence of reals
** Sequence of sets
** Cauchy sequences
* Limit of a function
* In Euclidean, metric, topological, and function space
* Limit of a net
* Infinity as a limit
* One-sided limit
* Existence
* Limit sets
* Lim sup, lim inf
* Relation to definition of continuity
* Relation to definition of derivative
* Properties of (different types of) limits, operations on limits
* Squeeze theorem
* Modes of convergence
* Multiple-index sequences, double limit, pointwise/uniform limit