Consider the following series. n=1 n (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n=10. (Round your answers to six decimal places.) Sa + •L f(x) dx $ $ 55, + 1x) dx 555 (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s s, is less than 0.00001. On-32 On>5 2020 n> 32 On> 15

Consider the following series. n=1 n (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n=10. (Round your answers to six decimal places.) Sa + •L f(x) dx $ $ 55, + 1x) dx 555 (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s s, is less than 0.00001. On-32 On>5 2020 n> 32 On> 15

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.1: Sequences And Series

Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...

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