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)" M 8 An 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.) O C. 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 (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The series converges absolutely at x = . (Type an integer or a simplified fraction.) O C. The series converges absolutely for all values of x. (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 complete your choice. O A. The series converges conditionally for (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The series converges conditionally at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. There is no value of x for which the series converges conditionally