Chapter 7.1, Problem 40P

(a)

Program Plan Intro

Program Description: Purpose of the problem is to shown that function from the given graph can be expressed as $f\left(t\right)={\displaystyle \sum _{n=0}^{\infty }{\left(-1\right)}^{n}u\left(t-n\right)}$ .

(b)

Program Plan Intro

Program Description: Purpose of the problem is to show that Laplace transform of function $f\left(t\right)$ from the subpart (a)is $L\left\{f\left(t\right)\right\}=\frac{1}{s\left(1+e^{-s}\right)}$ .