$${f}_{\u03f5}(x)=\{\begin{array}{ll}1/\u03f5,& 0\le x\le \u03f5\\ 0,& x>\u03f5\end{array}$$

I calculated the laplace transform of ${f}_{\u03f5}(x)$ to be

$$L({f}_{\u03f5}(x))=\frac{1-{e}^{-p\u03f5}}{p\u03f5}$$

I want to find the limit of this Laplace transform $\underset{\u03f5\to 0}{lim}L({f}_{\u03f5}(x))$