I understand what a linear approximation, and how it is derived using the point-slope formula:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x)\approx f(a)+f'(a)(x-a)[/tex]

These are the first three terms of a Taylor series, so I was wondering how the rest was derived?

Thanks for your help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Derivation of Taylor Series

**Physics Forums | Science Articles, Homework Help, Discussion**