# How to represent a periodic function using Taylor series

1. Dec 2, 2017

### PainterGuy

Hi,

Is this possible to represent a periodic function like a triangular wave or square wave using a Taylor series? A triangular wave could be represented as f(x)=|x|=x 0<x<π or f(x)=|x|=-x -π<x<0. I don't see any way of doing although I know that trigonometric series could be used instead.

This is not a homework question so I don't think I was supposed to use the template. If my question doesn't fit in this section, please move it to relevant section. Thank you for your help.

2. Dec 3, 2017

### Dick

You can represent periodic function like sine and cosine with Taylor series - so being periodic doesn't make it impossible. On the other hand a triangular wave isn't even differentiable - so no on that one.