8 Let f be the function defined by f(x) = 2x- +4x -6 Part A: Use partial fractions to evaluate [, f(x) dx, or show that the integral diverges. (7 points) 8 Part B: Determine whether the series converges or diverges. State the conditions used for determining convergence or divergence. k=3 2k +4k -6Do the following series converge absolutely, converge conditionally, or diverge? Explain your reasoning. Part A: 1 8 (-1)? (5 points) Part B: ( - 1) 7 (5 points) (n + 2)!n If the infinite series ) a, has nth partial sum S,= for n 2 1, what is the sum of the series Sa ? k=1 n- 1 K=1 01 O N - O O The series diverges