Initial Value Theorem of Laplace Transform/Examples/Example 1

Example of use of Initial Value Theorem of Laplace Transform
Consider the real function $f: \R \to \R$ defined as:
 * $\map f t = 3 e^{-2 t}$

From Laplace Transform of Exponential:
 * $\laptrans {\map f t} = \dfrac 3 {s + 2}$

Then by the Initial Value Theorem of Laplace Transform: