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Fourier Series
Please could someone help me with this question as I am a little stuck, thank you!
Use the restriction of the Fourier series to the interval [0,pi] to show that
http://latex.codecogs.com/gif.latex?sin(x)=-\frac{8}{\pi&space;}\sum_{k=0}^{\infty&space;}\frac{1}{(2k-1)(2k+3)}cos((k+\frac{1}{2})x)
for any 0<=x<=2pi
the problem is that I don't know how to interpret the question, does it mean find the fourier series for
f(x)=sin(x) on the interval [0,pi], i.e. creating an even function looking like a series of n's without spaces or??
Does anyone know how to do this question?
Use the restriction of the Fourier series to the interval [0,pi] to show that
http://latex.codecogs.com/gif.latex?sin(x)=-\frac{8}{\pi&space;}\sum_{k=0}^{\infty&space;}\frac{1}{(2k-1)(2k+3)}cos((k+\frac{1}{2})x)
for any 0<=x<=2pi
the problem is that I don't know how to interpret the question, does it mean find the fourier series for
f(x)=sin(x) on the interval [0,pi], i.e. creating an even function looking like a series of n's without spaces or??
Does anyone know how to do this question?
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- Back up uni
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- Can you take an A level exam after May/June?
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