Evaluate the following limit



This has been posted on a forum and is bugging me. I appreciate any help. I'm sure the OP of the problem would too.



[ infty ]^(1/n)
lim [ ---- n^k ]
n->infinity [ \ ------------------- ]
[ / (k+1)^{k+1} ]
[ ---- ]
[ k=0 ]

-T
.