Prove or disprove the statement ∀n ∈ N: ln(n + 1) ≤ 1 +1/2+ · · · +1/n≤ 1 + ln(n)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 49RE
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(b) Prove or disprove the statement
∀n ∈ N: ln(n + 1) ≤ 1 +1/2+ · · · +1/n≤ 1 + ln(n)

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