1. (5 pts. each) Find the radius and the interval of convergence of the following series (a) (5x - 4)" 73 n=1 (b) (Bessel function of order 1) E (-1)" x2+1 n! (n + 1)!22n+1 n=22. (6 pts.) Suppose that a series _, On (x - 3)" converges for r = 5. What can you say about the covergence of this series at: (a) r = 2 (b) r = 6 (c)r=1 3. (4 pts.) Find the Taylor polynomial of degree three centered at a = 1 of the function f (x) = r +5x+1. Then, multiply out your answer and explain the result