Let f be the triangle wave function defined by f(x): = π-|x|

Last updated: 7/14/2022

Let f be the triangle wave function defined by f(x): = π-|x| for -π < x ≤ π, and extended to be 2π-periodic on the real number line. Find the Fourier series of this function in complex exponential form. You should verify the Fourier coefficients of f are: f(n)= {π/2 if n = 0 0 if n≠0 and even 2/(πn²) if n is odd