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Suppose that a (x + 6)" converges at x = -7. At which of the following points must the series also converge? Use the fact n = 0 that if \\ an(x - c)" converges at x, then it converges at any point closer to c than x. (Select all that apply.) O X = -8 Ox = -6 U x = 0 U x = 0.000001 O x = 5.99 Ox =7Find the radius of convergence (R) and the interval of convergence (I) of the power series. (If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) i\": (x 9)\" Tutorial Consider Zanx\" with the given coefficients an. n n = 1 Find the radius of convergence R. Find the interval of convergence. (Enter your answer using interval notation.) : Consider a with the given coefficients a. OO n = 1 Find the radius of convergence R. R = Find the interval of convergence. (Enter your answer using interval notation.)00 Given that = x" with convergence in (-1, 1), find the power series for the function with the given center a. 1 - X 0 1 f( x) = a = 0 1 - 4x2 f ( x ) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)Given that = x" with convergence in (-1, 1), find the power series for the function with the given center a. 1 - X n = 0 1 f ( x ) = a = 5 6 -X 0O f ( x ) = 0 Identify the interval of convergence. (Enter your answer using interval notation.)Given that 1 1 = Z: x\" with convergence in (1, 1), find the power series for the Function with the given center a. x n = 0 6 f(x) = X ; a = 0 1 + X6 f(x) = z ( ) n = 0 Identify the interval of convergence. (Enter your answer using interval notation.) (1222) 1 lx Given that 00 = Z: X\