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9. Determine the number of terms needed to approximate the sum of the convergent serie. an error of less than 0.001. a. n=0 00 b. Σ n=1 (-1)" 1 2"n! √e = -1)"+1 n² C. (-1)"+1 n=1 n4" = In 5|4

9. Determine the number of terms needed to approximate the sum of the convergent serie. an error of less than 0.001. a. n=0 00 b. Σ n=1 (-1)" 1 2"n! √e = -1)"+1 n² C. (-1)"+1 n=1 n4" = In 5|4

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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I need help with number 9 a to c. 

9. g. Σ=1(−1)"(Vn+1-vn) h. Σ=o a. Determine the number of terms needed to approximate the sum of the convergent series with an error of less than 0.001. n=0 a. C. n+1 b. Σ(1)"Η η n=1 n=1 n=0 (-3)^ (2n+1)! (-1)" 1 2"n! n=1 ΣΤ n=l 3" (n+1)" η 4" = 10. Use the root or ratio tests to determine the convergence or divergence of the series. In the test is inconclusive, use another test. State which test(s) you use. ΣΕΙΡ g. Σ=1 h. Σ=1 e. Σ=1k(3) f. Σ=1 cos √e ηπ 3 n! (2η)! (n!)2 k C. 2ηη! 5.8.11 (3n+2) i. j. n=1 |. n=1 n=0 ο. Σ=1(−1)n-1ne-n ∞ κ. Σ (−1)n+¹ n4" n=1 (−1)" n=2(Inn)" n’ +1 η n! (-1)" 24n ' (2n + 1)! (n!)" (η) - 8 m. Ln=1 In sin 4η 4η ( ( 1 + ² ) ¹² η 2η2 n! n. Σ=1 ο. Σ=1 5
Transcribed Image Text:9. g. Σ=1(−1)"(Vn+1-vn) h. Σ=o a. Determine the number of terms needed to approximate the sum of the convergent series with an error of less than 0.001. n=0 a. C. n+1 b. Σ(1)"Η η n=1 n=1 n=0 (-3)^ (2n+1)! (-1)" 1 2"n! n=1 ΣΤ n=l 3" (n+1)" η 4" = 10. Use the root or ratio tests to determine the convergence or divergence of the series. In the test is inconclusive, use another test. State which test(s) you use. ΣΕΙΡ g. Σ=1 h. Σ=1 e. Σ=1k(3) f. Σ=1 cos √e ηπ 3 n! (2η)! (n!)2 k C. 2ηη! 5.8.11 (3n+2) i. j. n=1 |. n=1 n=0 ο. Σ=1(−1)n-1ne-n ∞ κ. Σ (−1)n+¹ n4" n=1 (−1)" n=2(Inn)" n’ +1 η n! (-1)" 24n ' (2n + 1)! (n!)" (η) - 8 m. Ln=1 In sin 4η 4η ( ( 1 + ² ) ¹² η 2η2 n! n. Σ=1 ο. Σ=1 5
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