##  [Pointwise Convergence](/pointwise-convergence) 

  ##  [Pointwise Convergence](https://puremath.quantumdictionary.io/pointwise-convergence-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A sequence (or net) of functions f_n converges pointwise to f on a domain D if for every x in D the sequence of scalars f_n(x) converges to f(x); convergence is checked at each point independently.