Question

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 ( , )

          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 ( , )

$Given the power series [ sumn=1^infty fracn(2 cdot x+1)^n9^n ] We have: Note: If the answer is a whole number, write it. Otherwise, use a fraction as your answer. a) The radius of convergence is: (b) The center of the power series is: (c) The interval of convergence is ( , )$