Use the fact that, for a decreasing integrable function, f, to show that, for the nth harmonic number, H n , ln n H n 1 ln n cb 1 b f(x)dx f (x)dx, r a r a 1 2 a...

Use the fact that, for a decreasing integrable function, f, to show that, for the nth harmonic

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Use the fact that, for a decreasing integrable function, f,

cb+1 b f(x)dx < f (x)dx, r=a r=a-1 2=a

to show that, for the nth harmonic number, H_n,

ln n ≤ H_n ≤ 1 + ln n.

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Algorithm Design And Applications

ISBN: 9781118335918

1st Edition

Authors: Michael T. Goodrich, Roberto Tamassia

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Question Posted: Aug 10, 2020 06:01 AM

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Use the fact that, for a decreasing integrable function, f, to show that, for the nth harmonic

Question:

cb+1 b f(x)dx < f (x)dx, r=a r=a-1 2=a

Step by Step Answer:

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Algorithm Design And Applications

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