Let $(e_n)$ be a sequence of numbers from the set $\{-1,0,1\}$.
Is it true that $$\sum\frac{e_n}{n!}$$ is always transcendental except trivial cases (when the series is finite, i.e. $e_n=0$ for almost all $n$)?
2026-03-27 06:34:56.1774593296
Generalisation of the transcendence of $e$
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