hi everyone,

Use D'Alembert's ratio test to test the convergent of the following series:

i)1+ $\displaystyle \frac{2^2}{2!}+\frac{3^3}{3!}+\frac{4^4}{4!}$

im stuck, i found the general term is

$\displaystyle \frac{n^n}{n!}$

i cant make out the solution,,,please help me...