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Mathematics
Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
n
!
n
n
\displaystyle \sum_{n=1}^{\infty}\frac{n!}{n^{n}}
n
=
1
∑
∞
n
n
n
!
converges absolutely, converges conditionally, or diverges. Provide your classification.
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