Additional Problem 2: Prove that the quantity tz =1+ ++...+!- In(k) is a monotone decreasing sequence which is bounded below. The limit of this sequence is y= 0.577.... and is often called the Euler- Mascheroni constant. Choose a submission type

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Additional Problem 2: Prove that the quantity tz =1+ ++...+!- In(k) is a monotone decreasing sequence which is bounded below. The limit of this sequence is y = 0.577..., and is often called the Euler-
Mascheroni constant.
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Transcribed Image Text:Additional Problem 2: Prove that the quantity tz =1+ ++...+!- In(k) is a monotone decreasing sequence which is bounded below. The limit of this sequence is y = 0.577..., and is often called the Euler- Mascheroni constant. Choose a submission type Upload More
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