thank you.

For the series below, (a) find the series' radius and interval of convergence. For what values of x does the series converge (b) absolutely. (c) conditionally? n(x + 2)" in n=0 . .. (a) The radius of convergence is (Type an integer or a simplified fraction.) Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The interval of convergence is (Type a compound inequality. Simplify your answer, Use integers or fractions for any numbers in the expression.) O B. The series converges only at x = (Type an integer or a simplified fraction.) OC. The series converges for all values of x. (b) For what values of x does the series converge absolutely? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The series converges absolutely for