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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}}}}} = ~~~? $

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    [This question](htt$p$://math.stac$k$exchange.com/questions/17578/how-to-com$p$ute-the-infinite-tower-of-the-complex-number-i-that-is-inftyi) seems on the same subject.2012-06-17

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