Let a > 0. Recall that lim x xa ln x = (by Exercise 66 in Section 4.5). (a) Show that xa

Chapter 7, Problem 60

(choose chapter or problem)

Let a > 0. Recall that lim x xa ln x = (by Exercise 66 in Section 4.5). (a) Show that xa > 2 ln x for all x sufficiently large. (b) Show that exa < x2 for all x sufficiently large. (c) Show that 1 exa dx converges.

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