18.03 Lecture Notes - Lecture 14: Fourier Series

(2) Consider the function f f(r) of period 2π which is given by Find the Fourier series of f(x). (Hint: You may use the fact that cos n" =-1 for odd 20pts integers n and cos n" = 1 for even integers n. ) Evaluate your Fourier expansion of f(r) at r = 플, what will you get? 2pts

Find the Fourier Series of the following function and provide a detailed sketch of 3 periods of the function and it's Fourier Series. 1. (x) ={-1 -Isr