Help with found Fourier complex series of e^t

1. Feb 28, 2017

needved

1. The problem statement, all variables and given/known data
i have this function

f(t) = e^t

2. Relevant equations

the fourier seria have the form

f(t) = \sum C_{n} e^{int}

3. The attempt at a solution}

so i need to find the coeficients $c_{n}$ given by

\frac{1}{2\pi} \int_{-\pi}^{\pi} f(t) e^{int} dt

my attempts are try to find the coeficients doing integration by parts but i dont have anithing. Any help here please.

(1)What is the interval over which you want the Fourier series? The series produces a periodic function of $t$, but $e^t$ is not periodic on the whole line.