Problem 3: [20 pts] Consider the function /(T) - 72 + 8 + 15 A. [4 pts] Use partial fraction decomposition to show that f (z) = - r+3 r+5 In order to earn full credit, start with the correct general form of the partial fraction decomposition and demonstrate how to find the constants. B. [6 pts] Determine if the improper integral 12 + 8 + 15 Far converges or diverges. If it converges, state its value. To earn full credit, you must justify any limits you compute and use proper notation! 14 Print your name(s).nn here: (Problem 3, continued) C. [10 pts] Determine whether the series _ 12 4 k + 15 converges or diverges. If it converges, state its value. To earn full credit, justify your response by explaining any convergence tests or other results you use