Odd Series

Calculus Level 4

Find the value of \(\left( \left\lceil 1+\dfrac{1}{x} \right\rceil \right) !\) if

\[x = \frac{1}{3!}+\frac{2}{5!}+\frac{3}{7!}+\frac{4}{9!}+\ldots.\]

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