Hey everyone, I need a little bit of help with this question so any help would be much appreciated.
Find the Fourier series of the function and discuss the divergence of it.
Thanks for any help everyone.
first the function must be periodic to be developed in Fourier series.
I consider that the function has a period of 2pi look the attachement. And it's clear that the function is even thus the (bn) coefficients are null.
and about the convergence: The serie converge to f(x) where f(x) is continous
and diverge where f(x) is discontinous
this is from the lejeune-dirichlet theorem: