[hwstill]

hi!

i have a problem in finding limit for this funciton f (x) = ((x/e)-x*((x/(x+1))^x)),where x --> infinity. i thought i will be able to use Lopital's rule, but cannot transformate funcition to uncertainity in order to use Lopital's rule. Do anyone have ideas? And I also think that there should be way to find limit without Lopital's rule, using formulas like e^x-1~x, but almost all of them are for x-->0. So maybe i must do y=1/x substitution.
But anyway, i have no ideas for the moment. Can anybody help?

thanks.