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Test for convergence the series 3.6.9 ... 3n (i) E x" (x > 0), 7.10.13 ... (3n + 4) 2.4.6 ... (2n + 2) Σ 3.5.7... (2n + 3) メー' (x>0). (ii)

Test for convergence the series 3.6.9 ... 3n (i) E x" (x > 0), 7.10.13 ... (3n + 4) 2.4.6 ... (2n + 2) Σ 3.5.7... (2n + 3) メー' (x>0). (ii)

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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Don't give this solution we find the value or interval for x and also discuss at end points

Test for convergence the series 3.6.9 (i) E n= 1 3n 7.10.13... •.. x" (x> 0), (3n + 4) 0. 2.4.6 ... (2n +2) 3.5.7 ... (2n + 3) (ii) E (x>0).
Transcribed Image Text:Test for convergence the series 3.6.9 (i) E n= 1 3n 7.10.13... •.. x" (x> 0), (3n + 4) 0. 2.4.6 ... (2n +2) 3.5.7 ... (2n + 3) (ii) E (x>0).
) Let Š Une be the given series こu Then Un = 3. 6.9. 3 n 7.10.13--(3nt4) Now, Unti 3-6-9.... 3n. (3n+3) 7.10.13. -(3n+y) un 7.10. 13. 3.6.9 - 3り - 3n+ 3 3n+7 Un 3n+7 二 unH 3n +3 also, '3n+7 3n+7- 3 n- 3 Un -) ニ Unti 3n+3 3n +3 こ 3n+3 n. 4 : Lim n -1) = lim n(3+ %) UnH Lim * >1 3+ 3m : The is convergent. . series given
Transcribed Image Text:) Let Š Une be the given series こu Then Un = 3. 6.9. 3 n 7.10.13--(3nt4) Now, Unti 3-6-9.... 3n. (3n+3) 7.10.13. -(3n+y) un 7.10. 13. 3.6.9 - 3り - 3n+ 3 3n+7 Un 3n+7 二 unH 3n +3 also, '3n+7 3n+7- 3 n- 3 Un -) ニ Unti 3n+3 3n +3 こ 3n+3 n. 4 : Lim n -1) = lim n(3+ %) UnH Lim * >1 3+ 3m : The is convergent. . series given
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