# Mistaken Identity

Calculus Level 3

$\large n = \left(\sum_{r=0}^\infty \dfrac1{r!} \right)^{8i \sum_{k=1}^\infty \frac{ (-1)^{k+1}}{2k-1}}$

Evaluate $$n$$ to 3 significant figures.

 Notation: $$i=\sqrt{-1}$$ is the imaginary unit.

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