- #1
Ratpigeon
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Homework Statement
Use the Fourier series of
f(x) = { 1 |x|<a
{ 0 a<|x|<[itex]\pi[/itex]
for 0<a<[itex]\pi[/itex]
extended as a 2-Pi periodic function for x [itex]\in[/itex]R
to find
[itex]\sum[/itex] Sin2(na)/n2
2. Homework Equations [/b
I got that the Fourier series of f(x) was
a/[itex]\pi[/itex]+[itex]\sum[/itex] (2/(m[itex]\pi[/itex]) sin(ma) sin(mx)
The Attempt at a Solution
I'm not sure what to do. I'm guessing that since its meant to use the Fourier series of f; it should be related to f(a), but f(a) is undefined, and the denominator is wrong...
Could anyone please point me in the right direction?