---
type: "concept"
title: "Subsequential limit"
slug: "subsequential-limit"
language: "en"
translationGroupId: "cms38qy6r000dqq01ss6uj33z"
domain: "Set theory"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

Let $(a_{n})$ be a [[Sequence|sequence]] in a [[Topological space|topological space]] $X$. A point $L\in X$ is a subsequential limit of $(a_{n})$ if some [[Subsequence|subsequence]] of $(a_{n})$ [[converges|converges]] to $L$.