lim ((n^2 + 2)/n^2)^(n^2) = lim (1 + 2/n^2)^(n^2) = lim (1 + 2/n^2)^(2 * n^2/2) = | t = n^2/2 | =
= lim (t->00) (1 + 1/t)^(2t) = (lim (t->00) (1 + 1/t)^t)^2 = e^2