It is the most common driving function in electrical engineering and is denoted by
∴ The Laplace transformation of unit step function can be written as
The both terms within the bracket are oscillating functions and hence can not be zero for t ∞. Therefore, for convergence e −σt 0 at t = ∞ when σ > 0.
Figure 4.1 shows the region of convergence.
Fig. 4.1 ...