Last edited by gomes; October 9th 2010 at 01:37 PM.
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Originally Posted by gomes
To calculate the fourier series, I used the formulae above, and I got:
and i substituted the values into the equation:
1. So what would my next step be? How do i show that the fourier series is given by the equation in the questions?
2. and using those results, how do i calculate 1-(1/4)+(1/9)-(1/16)+... and the 1/(n^2) sum to infinity?
You may want to open up the sum you got: it's exactly the same as in the question, so you already have (1)
As for (2): according to what you wrote: .
Likewise: ....get the sum
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