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A Consider the following. (-5)k 4kk! k = 1 (a) Determine the smallest number of terms required to approximate the sum of the series with an error less than 0.0001. N = (b) Use a graphing utility to approximate the sum of the series with an error less than 0.0001. (Round your answer to four decimal places.)

A Consider the following. (-5)k 4kk! k = 1 (a) Determine the smallest number of terms required to approximate the sum of the series with an error less than 0.0001. N = (b) Use a graphing utility to approximate the sum of the series with an error less than 0.0001. (Round your answer to four decimal places.)

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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A Consider the following. (-5)k 4kk! k = 1 (a) Determine the smallest number of terms required to approximate the sum of the series with an error less than 0.0001. N = n (b) Use a graphing utility to approximate the sum of the series with an error less than 0.0001. (Round your answer to four decimal places.) B Find a value of n such that Sn approximates the series with an error of at most 10-5. If you have a CAS, compute this value of Sn. (Round your answers to five decimal places.) = Sn = k = 1 1.2(-1)k + 1 In k k! Test the series for convergence or divergence. (−1)n + 1 3n4 n = 1 O converges O diverges If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms
Transcribed Image Text:A Consider the following. (-5)k 4kk! k = 1 (a) Determine the smallest number of terms required to approximate the sum of the series with an error less than 0.0001. N = n (b) Use a graphing utility to approximate the sum of the series with an error less than 0.0001. (Round your answer to four decimal places.) B Find a value of n such that Sn approximates the series with an error of at most 10-5. If you have a CAS, compute this value of Sn. (Round your answers to five decimal places.) = Sn = k = 1 1.2(-1)k + 1 In k k! Test the series for convergence or divergence. (−1)n + 1 3n4 n = 1 O converges O diverges If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms
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