Okay I'm trying to find this limit:

lim (ln(x))^{1/x}as x approaches infinity using L'Hopital's rule.

This is what I've done so far:

y = (ln(x))^{1/x}

ln(y) = (ln(ln(x)))/x

lim ln(y) = lim (ln(ln(x)))/x (Both as x approaches infinity)

(using L'H) = lim 1/(xln(x)) (as x approaches infinity)

That is what I have so far and I do not know where to go from there.

Also, sorry for the bad use of writing the equations and what not; I'm not sure how to write them on here as they should actually look, if that makes sense.