Chapter 10.3, Problem 24E

In Problems 17 -24 , determine the function to which the Fourier series for $f\left(x\right)$, given in the indicated problem, converges.

Problem 16

16. $f\left(x\right)=\{\begin{array}{l}0,-\pi <x<-\pi /2,\\ -1,-\pi /2<x<0,\\ 1,0<x<\pi /2,\\ 0,\pi /2<x<\pi \end{array}$