Consider the series ${\displaystyle \underset{n=0}{\overset{}{}}}\frac{(6x-5{)}^{2n+1}}{n^{\frac{3}{2}}}$

$($a$)$ Find the series' radius and interval of convergence.

$($b$)$ For what values of $x$ does the series converge absolutely$?$

$($c$)$ For what values of $x$ does the series converge conditionally?

$($a$)$ The interval of convergence is $$

$($Simplify your answer. Type your answer in interval notation.$)$

The radius of convergence is $$

$($b$)$ The series converges absolutely on $$

$($Simplify your answer. Type your answer in interval notation.$)$

$($c$)$ For what values of $x$ does the series converge conditionally? Select the correct choice below and, if necessary, fill in the answer box to com

A$.$ The series converges conditionally at $x=$ I.

$($Use a comma to separate answers as needed.$)$

B$.$ The series does not converge conditionally.

$(1)$ Time Remaining