(x-2)" 1. Consider the function in terms of the series f(x) = > 5" n2 (15 points) n=1 a. Create a plot of the first 5 partial sums. Clearly label each partial sum on a window that clearly shows all of the graphs together. b. Write out the partial sum polynomial that has degree 5. What is the center of the interval of convergence? How do you know? d. Find the radius of convergence. Show all work. e. What is the interval of convergence? Remember that you may need to apply one of our convergence tests for each of the endpoints. f. Explain how your graphs in part a verify that you found the correct interval of convergence. If necessary, you may include more than 5 partial sums. g. Approximate the value of f (4) to the thousandths place. Explain how you found your