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 -_-
Thanks
The previous post gave the definition of the Fourier coeficients, to even be looking at Fourier series you must have covered integration, so you should be able to do the integrals. Further information can be found here.
But the Fourier series representation of your function is:
CB
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?