1 3. In Problem Set 8 #2, you showed that da converges for p > 1 and diverges for p _ 1. It is xp tempting to walk away with the incorrect notion that, although dx diverges, the integral from OO 1 1 to oo of any function smaller than - converges. The integral dx demonstrates that this x In x notion is wrong. (a) If x > e, explain why - > 1 x In x ' 1 (b) Show that the integral dx diverges, even though 1 x In x x Inc 1 for a > e