Even And Odd Partition?

Calculus Level 4

x=π2123434565678789 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 xx.

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

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