lim (x->00) (1 + 1/x)^x = e

Тогда
lim (x->00) (1 + 3/x)^(x/2) = |t = x/3, x = 3t, x->00 => t-> 00| =
= lim (t->00) (1 + 1/t)^(3t/2) = (lim (t->00) (1 + 1/t)^t)^(3/2) = e^(3/2)