Find the radius of convergence, R, of the series. xn 4 . 9 . 14 . ... . (50 - 1) n=1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =Suppose that Z '3an converges when x = -4 and diverges when x = 6. What can be said about the convergence or divergence of the following series? n=0 (5) i cr) n=0 When compared to the original series, we see that x = :] here. Since the original series v for that particular value of x, we know that this series .1 w (b) 2 any" n = u when compared to the original series, we see that x = [:] here. Since the original series for that particular value of x, we know that this series 4 (C) 2 caps)" n=0 When compared to the original series, we see that x = :] here. Since the original series J for that particular value of x, we know that this series J on (d) z (1)"c,,9\" n = u when compared to the original series, we see that x = [:] here. Since the original series J for that particular value of x, we know that this series q ..,,,...,.,n E This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x = 0.) f ( x ) = - 1 8 + x Step 1 We need to express f(x) = - 1 - in the form 8 + X and then use the following equation. Submit Skip_(you cannot come back)Tutorial Exercise Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x = 0.) f ( x ) = = 9 2 - X Step 1 We wish to express f(x) = 9 in the form 1 2 - X 1 - r and then use the following equation. 1 1= 0 Submit Skip (you cannot come back)