I have been asked to find the sum of the attached fourier series when t = -3, t = 0 and t =3 but the handout doesnt tell me how I go about doing it and I cant find it on the net. Can someone show me how to find the first one with working for:
-1/2 + 1/pi |sum symbol here|1/n (1-(-1)^n)sin(n x pi x t/2)
Sorry about the way I've put it, the jpeg wont upload and I dont know how to use the math tags.
or can someone direct me in the right direction where I can find it.
The coefficient is . I looked at just the numerator of this.
After noting that the series does not involve a value of n that is even, I used n = 2y - 1. 2y - 1 = 1, 3, 5, 7, etc, for y going from 1 to infinity.