##  [Taylor's Theorem](/taylors-theorem) 

  ##  [Taylor's Theorem](https://puremath.quantumdictionary.io/taylors-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A result giving a polynomial approximation of a sufficiently smooth function around a point, together with a remainder term that quantifies the approximation error (several equivalent remainder forms exist, such as the Lagrange and integral forms).