Any causal signal x(t) having a Laplace transform with poles in the open left s plane (i.e. not including the jO axis)has, as we saw before, a region of convergence that includes the jO axis, and as such its Fourier transform can be found from its Laplace transform. Consider the following signals:
X1(t) = e^-2t[u(t)]
X2(t) = r(t)
X3(t) = x1(t)x2(t)
Determine the Laplace transform of the above signals (use property of Laplace transform) indicating the corresponding region of convergence.