[tex]lim(x->\infty) (1+\frac {3}{x})^3^x[/tex]

=

Замена 1/t=3/x

            t=3x

=lim(1+1/t)^(3*3x)=lim((1+1/t)^t)^9 = e^9

1/t=3/x

t=3x

=lim(1+1/t)^(3*3x)=lim(1+1/t)^9

=e^9