Source: wikibot/almost-convergent-sequence
= Almost convergent sequence
{wiki=Almost_convergent_sequence}
An **almost convergent sequence** is a concept from real analysis that deals with sequences that do not necessarily converge in the traditional sense but exhibit behavior close to convergence. A sequence \\((x_n)\\) is said to be **almost convergent** if there exists a limit \\(L\\) and a subsequence \\((x_\{n_k\})\\) such that the subsequence converges to \\(L\\).