We study $\displaystyle (1+x/n)^n$, x>0.

Write the binomial expansion for $\displaystyle (1+x/n)^n$ as $\displaystyle An^(0)+An^(1)+...+An^(n)$, where $\displaystyle An^(0)=1$ and $\displaystyle An^(n)=(x^n)/(n^n)$.

Give the expression for $\displaystyle An^(k)$.

can someone please help. no idea how to do it.