Not even sure how to approach this one:

(I have to write this without latex, since it seems to be down right now)

Show that lim (n-->infinity) (1+x/n)^n = e^x

My only thought is to restate this in a limit definition fashion, but it's not getting me anywhere:

lim (n-->infinity) n ln(1+x/n)

I know that lim (n-->infinity) (1+1/n)^n = e, but I can't seem to find the connection between these two equations.

Any help is appreciated.

Thanks!