Apologies in advance as I'm sure you get many similar questions.
So I have to expand the Fourier Series f(x)=-1 for -π<x<0, f(x)=x for 0<x<π
I end up with a0/2(ie the first term)=1=π/2, an=0?, and bn=(1-(-1)^r)/n
I'm not sure if this is right or not. The next bit of the question asks for the sum of the infinite series from k=0 of 1/(2k+1)^2.
I have no idea how to easily relate the two. Would someone be able to help please?
So I have to expand the Fourier Series f(x)=-1 for -π<x<0, f(x)=x for 0<x<π
I end up with a0/2(ie the first term)=1=π/2, an=0?, and bn=(1-(-1)^r)/n
I'm not sure if this is right or not. The next bit of the question asks for the sum of the infinite series from k=0 of 1/(2k+1)^2.
I have no idea how to easily relate the two. Would someone be able to help please?