I'm in Limbo
Algebra
Level
5
\[\LARGE { i }^{ { i }^{ i^{.^{.^{.}}} } } \]
For \( i = \sqrt{-1} \), the value of the infinitely nested exponent above is equal to \(A + Bi \) for real values \(A\) and \(B\).
Find the value of \({ A }^{ 2 }+{ B }^{ 2 }\) to 3 decimal places.
by
Vighnesh Raut