In my text book it is stated (without any explanation) that $$ \prod_{i = 1}^{\infty} \frac{x^{i}}{e^{i!}} = e^{e^x - 1} $$ and I can't really think of how one can show this.
2026-04-03 11:32:13.1775215933
How to compute $\displaystyle\prod_{i = 1}^{\infty} \frac{x^{i}}{e^{i!}}$?
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