##  [Limit Inferior](/index.php/limit-inferior) 

  ##  [Limit Inferior](https://puremath.quantumdictionary.io/limit-inferior-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a sequence (a_n), the limit inferior, lim inf a_n, is lim_{n→∞} (inf_{k≥n} a_k). It equals the smallest subsequential limit and describes the least accumulation behavior as the index tends to infinity.