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Show that St=1 # € 0(1) _h=1

Show that St=1 # € 0(1) _h=1

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Subject - Design & Anal algorithms

Please complete all the question carefuly. Thank you in Advance. check the attached document file to see the question clearly. Thanks

Show that Σ=1# €0(1)
Transcribed Image Text:Show that Σ=1# €0(1)
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NOTE: There is only one question and the document file is missing.

Consider, 

f(n)=∑k=1n(1k2)

⇒f(n)=112+122+132+.....+1n2

The expression 112+122+132+.....+1n2  is the sum of the squares of the reciprocals of the positive integers from 1 to n. This is also known as the "sum of squares of reciprocals" or the "Basel problem". There is no closed-form formula to represent this sum, but it has been proven to converge to a specific value. This value is denoted by the Greek letter η and is approximately equal to 1.64493. 

The exact value of η is given by the following infinite series:

η=112+122+132+.....=π26

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