When You Have Too Many Ex's Part II

Calculus Level 4

If f(x) is defined on all x in the interval I, where

\[f(x) = x^{x^{x^{\cdot^{\cdot^\cdot}}}},\]

find \(\lfloor 10000 \cdot \sup I \rfloor\).

Note: \(\lfloor L \rfloor\) is the greatest integer less than or equal to \(L\).

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