- #1
MedPhysKid235
Homework Statement
f(x)=x on [0,2)
Homework Equations
Fourier Series is given as:
f(x)=a0/2 + n=1∞∑(an*cos(nπx/L) + bn*sin(nπx/L)
a0=1/L*-LL∫f(x)dx
The Attempt at a Solution
Basically what I am being taught is that we take the Period, T, to be equal to 2L so, T=2L
In this case T=2 and L=1. My issue arises when looking at my limits of integration. If the function was centered at zero and the range was [-1, 1) that would be fine, but in this case it isn't. So doing the integral from -L to L doesn't make sense to me for this question since the function from 0 to 2 which I want to represent by the Fourier series is different than f(x) on -1 to 1.
I guess you could say this is more of a situational based question rather than how to actually solve it, I am just trying to understand which Fourier series equations to use and how to plug the given functions into them, as this was something that was very poorly taught to me and I can't find much information on this situation.
Thanks in advance!