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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. Choose a submission type

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. Choose a submission type Upload More
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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