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Fourier Cosine series of cos(x)

Sarahisme
in Homework Help

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Hello peoples,

 

I think this is a trick question... well sort of :P

 

picture8ox1.png

 

for part (a) i get that the cosine Fourier Series for f(x) = cos(x) to be:

 

picture9sq2.png

 

i hope that is ok, but its part (b) that is troubling me...

 

is all that happens as picture10gf7.png is that the cosine Fourier series of cos(x) goes to 0?

 

i am guessing i am missing some trick to this question?

 

Cheers! :D

 

Sarah

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