A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f: f(:v)da= s f) ft\")- 1 . . . 1 - Recall that e : Z . Suppose that for each positive Integer k, fUc) : E' Find an upper bound B for n! 0 mm. B = 11:0 B. A function is given by hUc) 2/ ache3&6. I] . Its values may be found in tables. Make the change of variables y = 5611101) to express 00 I : f marl\"d1: as a constant C times M3). Find 0. {J C: C. Let 9(22) : 3234\". Find the smallest number M such that the function g is decreasing for all :1: > M. C.M= 00 D. Does E rig-4'" converge or diverge? n=1