(Requires calculus) Let Hn be the nth harmonic number 1 1

Chapter 3, Problem 3.2.60

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(Requires calculus) Let Hn be the nth harmonic number 1 1 1 Hn =I+ 2" + 3 + " ' + ;; ' Show that Hn is o (log n). [Hint: First establish the inequality n 1 I n 1 L -: < -dx j=2 J I X

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