I have 3 functions on [-pi,pi[ and i need to describe why the fourier series converges pointwise on [-pi,pi], determine its sumfunction on [-pi,pi] and find out if it's also converges uniformly on [-pi,pi]
the functions are as follows:
1) f(x)= 1 for x in [pi/2,pi[ and 0 for x in [-pi,pi/2[
2) g(x)= |x-pi/2|+|x+pi/2|
3) h(x)= |x+pi/2|
Honestly im a bit lost
Anyway i think they're all piecewise differential c1 functions, and 1) at least is discontinious in -pi and pi.