Chapter 10.2, Problem 14P

a.

To determine

To graph: The function defined by $f\left(x\right)=\left\{\begin{array}{l}1,-L\le x<0\\ 0,0\le x<L\end{array}\right\}$ with $f\left(x+2L\right)=f\left(x\right)$ for three different periods.

b.

To determine

The Fourier series for the function $f\left(x\right)=\left\{\begin{array}{l}1,-L\le x<0\\ 0,0\le x<L\end{array}\right\}$.