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(a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally ( x-3)0 n=0 (Simplify your answer.) 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 = (Tvne an intener or a simplified fraction )