Given the power series
[
sum_{n=1}^{infty} frac{n(2 cdot x+1)^{n}}{9^{n}}
]
We have:
Note: If the answer is a whole number, write it.
Otherwise, use a fraction as your answer.
a) The radius of convergence is:
(b) The center of the power series is:
(c) The interval of convergence is ( , )