limn^(1/n) n-->∞=? N is not a constant

limn^(1/n) n-->∞=? N is not a constant

y=n^(1/n)
lny=lnn/n
When n →∞, lnn / N is of ∞ / ∞ type, and the law of lobita can be used
limn→∞lnn/n=limn→∞1/n=0
So LiMn →∞ n ^ (1 / N) = e ^ 0 = 1