ordinary differential equations - function representation of power series

What is the function representation of this power series?

[Summation from n=0 to infinity of ($x^n)(n+1)!/n!$

The solution is $\frac{1}{(1-x)^-2}$ but how???

I know that $\sum_{n=0}^{\infty}(x^n)/n! = e^x$, but I don't know how to get to the solution from there.