---
tag: 0Z49YH6ZWY
kind: concept
name: Taylor series
msc: [41A58]
sources:
  - url: https://en.wikipedia.org/wiki/Taylor_series
    locator: lead section
same_as:
  wikidata: Q131187
  wikipedia: Taylor series
---

## Summary

The Taylor series of a smooth function at a point is the power series built from all the derivatives of the function at that point. For analytic functions, it converges to the function near the point. The node [[Taylor series|0225QPWRRE]] gives the precise definition.