Answer Happy

∞ Consider the series Σ (2x)". n=0 (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) Find the interval of convergence. (Simplify your answers.) Find the radius of convergence. R= (Simplify your answer.) (b) For what values of x does the series converge absolutely? (Simplify your answers.) (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. OA. The series converges conditionally at x = (Use a comma to separate answers as needed. Simplify your answer.) OB. The series does not converge conditionally.