7. Let f be defined on the interval [0, 1] by f(x)=2x+1. Derive two different Fourier series which each give a representation of f valid on the interval (0, 1) at least. Answer: The Fourier series of f(x) = 2x + 1 over [-1,1] is 4(-1)+1 1+ sin(nлx). пп n=1