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19. Find an upper bound for the error in using the sum of the first 8 terms to approximate the sum of the convergent series 1 k2 k=1 20. Determine how large n must be so that the nth partial sum Sn approximates the sum of the series in problem 19 with an error of no more than 0.0000001

19. Find an upper bound for the error in using the sum of the first 8 terms to approximate the sum of the convergent series 1 k2 k=1 20. Determine how large n must be so that the nth partial sum Sn approximates the sum of the series in problem 19 with an error of no more than 0.0000001

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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20th one ,please.

19. Find an upper bound for the error in using the sum of the first 8 terms to approximate the sum of the convergent series 1 k2 k=1 20. Determine how large n must be so that the nth partial sum Sn approximates the sum of the series in problem 19 with an error of no more than 0.0000001
Transcribed Image Text:19. Find an upper bound for the error in using the sum of the first 8 terms to approximate the sum of the convergent series 1 k2 k=1 20. Determine how large n must be so that the nth partial sum Sn approximates the sum of the series in problem 19 with an error of no more than 0.0000001
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