\[\]
Suppose a Pie is a perfect circle with a radius of \(\pi \). Suppose \(I\) is the area of the pie, and \(P\) is the circumference of the pie, calculate the infinite series
\[\frac { P }{ I } \quad +\quad \frac { { P }^{ 2 } }{ { I }^{ 2 } } \quad +\quad \frac { { P }^{ 3 } }{ { I }^{ 3 } } \quad +\quad ...\]

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