2(336] 2"\" W 11W)? 2. Consider the power series 2:: where b is a constant. (a) Show that this power series has radius of convergence R = g. (b) i. What is the center of the power series (your answer should depend on 1))? ii. What are the endpoints of the interval of convergence (your answer should depend on (3)? iii. Ifthe power series is known to converge at it! = 4, what is the smallest possible value of 3)? Explain. iv. [f the power series is known to converge at a: = 4, what is the largest possible value of 5? Explain. (c) Find the interval of convergence of the power series (using your endpoints found above)