Chapter 7.8, Problem 12P

In Problems 11 to 14, parts (a) and (b), you are given in each case one period of a function. Sketch several periods of the function and expand it in a sine-cosine Fourier series, and in a complex exponential Fourier series.

(a) $f(x)=e^x,-\pi <x<\pi$; (b) $f\left(x\right)=e^x,0<x<2\pi$.