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Mathematics
Problem
Consider the series
∑
n
=
1
∞
(
x
+
2
)
n
3
n
n
.
\sum_{n=1}^{\infty}\frac{(x+2)^{n}}{3^{n}n}.
n
=
1
∑
∞
3
n
n
(
x
+
2
)
n
.
Answer the following. a. Determine the radius of convergence
R
R
R
. b. Find the interval of convergence, stating clearly whether the series converges, diverges, or converges conditionally at each endpoint.
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