Chapter 17, Problem 56P

The Fourier series trigonometric representation of a periodic function is

$f\left(t\right)=10+{\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\left(\frac{1}{n^2+1}\cos n\pi t+\frac{n}{n^2+1}\sin n\pi t\right)}$

Find the exponential Fourier series representation of f(t).