(a) Show that lim x ln x x = 0 (b) Use your result in (a) to show that, for any c > 0
Chapter 7, Problem 44(choose chapter or problem)
(a) Show that lim x ln x x = 0 (b) Use your result in (a) to show that, for any c > 0, cx ln x for sufficiently large x. (c) Use your result in (b) to show that, for any p > 0, x pex ex/2 provided that x is sufficiently large. (d) Use your result in (c) to show that, for any p > 0, % 0 x pex dx is convergent.
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