Пусть $ f(z)=e^{e^z} $, найти $f(i)$.


$f(i) = e^{\cos 1}(\cos(e) + i\sin(e))$

$f(i) = (\cos(e) + i\sin(e))$

$f(i) = e^{\cos 1}(\cos(\sin1) + i\sin(\sin1))$

$f(i) = e^{\cos 1}(\cos(1) + i\sin(1))$