It can be shown using material from a later section that [ete de is given by (-1)"a²n+1 n!2¹ (2n + 1) n=0 for any positive value of a. When a is positive, this series is an alternating series. (a) Approximate Leva dx to four decimal places accuracy by using the Alternating Series Test and its remainder theorem. (Be careful to not round intermediate steps.) (b) Using the same number of terms as you used in your sum in part (a), compute the midpoint approximation M₁, for the integral fet de е (c) Which approximation is more accurate? This should be determined using just parts (a) and (b).

It can be shown using material from a later section that [ete de is given by (-1)"a²n+1 n!2¹ (2n + 1) n=0 for any positive value of a. When a is positive, this series is an alternating series. (a) Approximate Leva dx to four decimal places accuracy by using the Alternating Series Test and its remainder theorem. (Be careful to not round intermediate steps.) (b) Using the same number of terms as you used in your sum in part (a), compute the midpoint approximation M₁, for the integral fet de е (c) Which approximation is more accurate? This should be determined using just parts (a) and (b).

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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D. Estimate [(-1)/(2n + 7) to within an accuracy of 0.01. (Make sure to verify the series meets the conditions of any theorem that you use.)
by cauchy root
I'd like it to be prove step by step and solution in understandable writing. Thanks

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