Don't mess with tetrations.

Calculus Level 4

\[\displaystyle {x=\pi^ {(\pi^{-1})^{\pi^{(\pi^{-1})^{...}}}}}\]

\[\text{Find } x \text{.}\]

Details and assumptions

\[\text{If you can't read the expression, it's an alternating}\] \[\text{infinite tetration, with the terms being } \pi \text{ and } {\pi}^{-1} \text{.}\]

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