Even And Odd Partition?

Calculus Level 4

\[ x = \left \lfloor \pi \cdot{} \frac{2}{1} \cdot{} \frac{2}{3} \cdot{} \frac{4}{3} \cdot{} \frac{4}{5} \cdot{} \frac{6}{5} \cdot{} \frac{6}{7} \cdot{} \frac{8}{7} \cdot{} \frac{8}{9} \cdots \right \rfloor \]

Find \(x\).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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