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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.