How to calculate the inverse Laplace transform of $F(s)=\frac{1}{1-e^{-s}}$?

Question

How to calculate the inverse Laplace transform of this function?

$$F(s)=\frac{1}{1-e^{-s}}$$

Answer 1

$$(\mathcal{L}^{-1}F)(x)=\sum_{n\geq 0}\mathcal{L}^{-1}(e^{-ns})=\sum_{n\geq 0}\delta(x-n) $$ is a one-sided Dirac comb.