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## Main Question or Discussion Point

Does anyone know if there is a summation formula to find the sum of an expression with n as an argument in a trig function? I'm asking this because I'm learning about Fourier series/analysis but it seems that once we have the Fourier series we only sum for n=1,n=2,n=3... We never sum there series all the way to infinity. Is there a way to do that, simular to the way an integral is defiened as the Riemann sum of an infinate number of points?

If anyone can point me in a good dirrection I would sincerely appreciate it.

Thanks a lot

If anyone can point me in a good dirrection I would sincerely appreciate it.

Thanks a lot