- #1
dobry_den
- 115
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Homework Statement
My task is to determine whether the following series is convergent or not.
[tex]\sum_{n=1}^{\infty}\left(\frac{n}{e}\right)^{n}\frac{1}{n!}[/tex]
The Attempt at a Solution
The limit of the terms is zero, so the series might be convergent. I tried the ratio test, but the limit is equal to 1, so that didn't help. Now I'm trying Raabe's test, but the limit is quite difficult to determine...
Do you have any ideas, please? Any help would be greatly appreciated...