Question 5 (20 points). Determine whether the following series converge absolutely, con- verge conditionally, or diverge, and by which test: (1) (-1) 7 k2 + k +2) k 4/2 + 3 k=0 (2) [(-1) k ( k + 1) 23k k! HINT: part a is root test, part b is ratio test. FURTHER HINT: it is NOT possible to converge conditionally using root or ratio test