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Putnam
1942 Putnam
A3
A3
Part of
1942 Putnam
Problems
(1)
Putnam 1942 A3
Source: Putnam 1942
3/1/2022
Is the series
∑
n
=
0
∞
n
!
(
n
+
1
)
n
⋅
(
19
7
)
n
\sum_{n=0}^{\infty} \frac{n!}{(n+1)^{n}}\cdot \left(\frac{19}{7}\right)^{n}
n
=
0
∑
∞
(
n
+
1
)
n
n
!
⋅
(
7
19
)
n
convergent or divergent?
Putnam
series
Convergence