Okay, I dont even know how to solve this ... plzz someone help ^^
Let f(x) be a periodic function with period P = 2pie defined in one period by
f(x) = pie if -pie < x < 0,
pie - x if 0 less than equal x less than equal pie
(a) Compute An for n greater than and equal to 0.
(b) Compute Bn for n greater than and equal to 1.
(c) Now write f(x) as a Fourier series.
I know i am asking a lot but these type of problems will be on my test -_-
But the Fourier series representation of your function is:
I have this problem as well.
The Wiki says that in order to do this problem, f(x) must be integrable from -pi to pi. This step function is not integrable? It's not a continuous function. I guess I could find the integral using geometric sums, but how would I plug that into the Fourier coefficients?