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iii...\LARGE { i }^{ { i }^{ i^{.^{.^{.}}} } } iii...
For i=−1 i = \sqrt{-1} i=−1, the value of the infinitely nested exponent above is equal to A+BiA + Bi A+Bi for real values AAA and BBB.
Find the value of A2+B2{ A }^{ 2 }+{ B }^{ 2 }A2+B2 to 3 decimal places.
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