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## Homework Statement

The problem is finding the fourier series of f(t) = e^(-t) from [0,2] where T=2 and without using complex solution.

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## Homework Equations

f(t) = a

_{0}/2 + ∑ (a

_{n}Cos(nωt) +b

_{n}sin(nωt)

NOT using f(t) = ∑d

_{n}e^(inωt)

## The Attempt at a Solution

I tried once but got completly wrong answer.

it was ∑(4*(-1)

^{n+1}*e

^{-2}+n

^{2}π

^{2}*e

^{-2}*(-1)

^{n+1}+4+n

^{2}π

^{2}) / n

^{2}π

^{2}

When I graphed this up in my texas it showed like a barcode which is definetly wrong.

When I got this solution what I did was extending the function f(t) to be even from [-2,2] and T=4 and went from there so all the b

_{n}would be equal to zero but that was as far as I got. What am I doing wrong here?

Thank you :)