cours/suite convergente.md
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---
alias: ["converge", "convergence"]
---
up::[[suite]]
#maths/analyse
----
Soit $u$ une [[suite]]
On dit que $u$ _converge vers $l \in E$_ si :
$\forall \varepsilon > 0, \exists n_{0} \in \mathbb{N}, \forall n \geq n_{0}, |u_{n} - l| \leq \varepsilon$