1. The problem statement, all variables and given/known data 1. Find the fourier series of the function: f(x)= 1 when -pi/2 < x < pi/2 -1 when pi/2 < x < 3pi/2 2. Let f be a functin that is defined in [0,pi/2]. f is continous at [0,pi/2] and has a piecewise-continous deriative. In each case, determine how should we expand the definition of f to [-pi,pi] so that the fourier series will be as followed in the picture... 2. Relevant equations 3. The attempt at a solution About 1- I can't figure out how I should expand this function...expanding it to a 3pi period gives me a result that doesn't make sense at all... Also when I've tried to consider the function as a function with 2pi period- The results I've received were unreasonable... About 2- I'll be glad to receive some guidance in it... Thanks a lot!