Problem 1. (1 point) Problem 5. (1 point) Find all the values of x such that the given series would converge. Consider the power series E (-4)" Vn ( x + 6 ) " . [n! ( x -8)" Find the radius of convergence R. If it is infinite, type "infinity" or "inf. Answer: R = The radius of convergence for this series is: _ Problem 2. (1 point) What is the interval of convergence? Consider the power series Answer (in interval notation): 1 Vn+3 Find the radius of convergence R. If it is infinite, type "infinity" or "inf Answer: R = What is the interval of convergence? Problem 6. (1 point) Answer (in interval notation): Consider the power series (6x -3)" Problem 3. (1 point) 1=1 Consider the power series Find the radius of convergence R. If it is infinite, type "infinity" [ (n + 5 )1". or "inf. Answer: R = Find the radius of convergence R. If it is infinite, type "infinity" or "inf". Answer: R = What is the interval of convergence? Answer (in interval notation): What is the interval of convergence? Answer (in interval notation): Problem 4. (1 point) Consider the power series : 6"x" E n ! Problem 7. (1 point) Find all the values of x such that the given series would converge. Find the radius of convergence R. If it is infinite, type "infinity" or "inf". Answer: R = ( x-8) " What is the interval of convergence? Answer (in interval notation): Answer: Note: Give your answer in interval notation