Show that $\frac{2}{p-1}$ is a $p$-adic integer and find its p-adic expansion. P-adic numbers really make little sense to me so any help explaining what to do and why would be really appreciated. Thanks
Hint: $\frac{1}{1-x}=1+x+x^2+x^3+x^4+\ldots$. –  Chris Eagle Apr 25 '12 at 11:25