$\sum_{n=1}^{\infty} \frac{(-2)^n(n!)}{n^n} = \space ?$
How would you figure this out? I only managed to show that it does converge and i wrote a python script that showed that it converges to roughly -0.9569682178829938. 400th partial sum.
2026-02-23 08:23:26.1771835006
What does this infinite series converge to?
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