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Mathematics
Problem
For the series
∑
n
=
1
∞
2
n
(
x
+
1
)
n
n
,
\sum_{n=1}^{\infty} \frac{2^{n}\,(x+1)^{n}}{n},
n
=
1
∑
∞
n
2
n
(
x
+
1
)
n
,
find the open interval of values of
x
x
x
for which the series converges absolutely.
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