---
tag: 0ZZ4RHTR9X
kind: concept
name: Taylor polynomial
msc: [41A58]
sources:
  - url: https://en.wikipedia.org/wiki/Taylor%27s_theorem
    locator: Statement of the theorem
---

## Summary

The Taylor polynomial of degree $k$ of a function at a point has the same value and the same first $k$ derivatives there. It approximates the function near the point. The node [[Taylor polynomial|0HFSFVMWQB]] gives the precise definition.