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Consider the series R10 ≤ n = 1 (a) Find the tenth partial sum, $10. (Round your answer to six decimal places.) $10 = Estimate the error in using S10 as an approximation to the sum of the series. 1 10 1 dx = (b) Use the following inequalities to obtain an improved estimate of the sum. (Round your answers to six decimal places.) [", ["x Sn + f(x) dx ≤ s≤ sn + f(x) dx +1 SSM (c) Find a value of n so that s, is within 0.000001 of the sum. On>0 On > 23 On> 5 On>-23 On> 13

Consider the series R10 ≤ n = 1 (a) Find the tenth partial sum, $10. (Round your answer to six decimal places.) $10 = Estimate the error in using S10 as an approximation to the sum of the series. 1 10 1 dx = (b) Use the following inequalities to obtain an improved estimate of the sum. (Round your answers to six decimal places.) [", ["x Sn + f(x) dx ≤ s≤ sn + f(x) dx +1 SSM (c) Find a value of n so that s, is within 0.000001 of the sum. On>0 On > 23 On> 5 On>-23 On> 13

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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Consider the series (a) Find the tenth partial sum, S10- (Round your answer to six decimal places.) $10 = Estimate the error in using s10 as an approximation to the sum of the series. 1 T40 X R10 ≤ n = 1 Sn (b) Use the following inequalities to obtain an improved estimate of the sum. (Round your answers to six decimal places.) + [₁ 6 Jn + dx = On> 13 f(x) dx ≤ s ≤ sn + ≤SM f(x) dx (c) Find a value of n so that s, is within 0.000001 of the sum. n On>0 On > 23 On> 5 On>-23
Transcribed Image Text:Consider the series (a) Find the tenth partial sum, S10- (Round your answer to six decimal places.) $10 = Estimate the error in using s10 as an approximation to the sum of the series. 1 T40 X R10 ≤ n = 1 Sn (b) Use the following inequalities to obtain an improved estimate of the sum. (Round your answers to six decimal places.) + [₁ 6 Jn + dx = On> 13 f(x) dx ≤ s ≤ sn + ≤SM f(x) dx (c) Find a value of n so that s, is within 0.000001 of the sum. n On>0 On > 23 On> 5 On>-23
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