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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
2
n
3
n
+
1
\displaystyle\sum_{n=1}^{\infty} \frac{2^{\,n}}{3^{\,n}+1}
n
=
1
∑
∞
3
n
+
1
2
n
converges or diverges. Provide a brief justification (one sentence).
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