Find the fourier series for

By considering the Fourier series at show that

I am not enjoying these at the moment. I get lost. Really lost. (Angry)

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- Sep 15th 2009, 05:35 AMMaccamanFourier Series
Find the fourier series for

By considering the Fourier series at show that

I am not enjoying these at the moment. I get lost. Really lost. (Angry) - Sep 15th 2009, 10:38 AMshawsend
Start with the definitions:

You can calculate those right?

That's a good start. Then the Fourier series is:

Now, evaluate that at and convert the sines and cosines to minus one raised to powers and adjust the summation expression accordingly. - Sep 20th 2009, 03:47 AMMaccaman
I get

if n is even, if n is odd

and

So fourier series is

.

Is this correct?

Im confused with how to "*convert the sines and cosines to minus one raised to powers and adjust the summation expression accordingly."*Can someone please explain? - Sep 20th 2009, 12:39 PMOpalg