Determine if the series converges or diverges.
∑
n
=
1
∞
(
n
+
1
)
!
2
n
+
1
\displaystyle {\sum_{{{n}={1}}}^{\infty}}\frac{{{\left({n}+{1}\right)}!}}{{2}^{{{n}+{1}}}}
n
=
1
∑
∞
2
n
+
1
(
n
+
1
)
!
Diverges
Converges
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