Possible Duplicate:
How to compute the infinite tower of the complex number $i$, that is$ ^{\infty}i$
Define $a_0 = i$, and $a_n = i^{a_{n-1}}$.
What is
$\lim_{n \rightarrow \infty}{a_n} = i^{i^{\,{}^{.\,^{.\,^{.\,^i}}}}} = ~~~? $
Possible Duplicate:
How to compute the infinite tower of the complex number $i$, that is$ ^{\infty}i$
Define $a_0 = i$, and $a_n = i^{a_{n-1}}$.
What is
$\lim_{n \rightarrow \infty}{a_n} = i^{i^{\,{}^{.\,^{.\,^{.\,^i}}}}} = ~~~? $