不会，结果等于1
lim n^(1/n) = lim (n+1)^(1/(n+1))记n = 1/x , x = 1/n ->0 lim (n+1)^(1/(n+1)) = lim (1+1/x)^(x/(x+1)) = lim ((1+1/x)^(1/x))^(1/(x+1)) = e^(x^2/(x+1))= e^0 =1
1
0吧？
