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5. Determine (with proof) if the following series is converging absolutely, converging conditionally or diverge ( a. IM8 IM8 nn b. d. Σ(-1)n-12-vn ∞ n² + 2 2n² +3 n=1 e. C. 8 n- Σ(-1) - n=1 ne 2.4.6.... (2n) n! -n² n=1 Hint: For (a) and (c), apply ratio test. For (d) and (e), use integral test.

5. Determine (with proof) if the following series is converging absolutely, converging conditionally or diverge ( a. IM8 IM8 nn b. d. Σ(-1)n-12-vn ∞ n² + 2 2n² +3 n=1 e. C. 8 n- Σ(-1) - n=1 ne 2.4.6.... (2n) n! -n² n=1 Hint: For (a) and (c), apply ratio test. For (d) and (e), use integral test.

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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5. Determine (with proof) if the following series is converging absolutely, converging conditionally or diverge (* a. IM8 IM8 nn b. n=1 n² + 2 +3 2n² C. e. ∞ n- Σ(-1) - n=1 d. Σ(-1)n-12-vn n=1 Hint: For (a) and (c), apply ratio test. For (d) and (e), use integral test. ne 2.4.6.... (2n) n! -n
Transcribed Image Text:5. Determine (with proof) if the following series is converging absolutely, converging conditionally or diverge (* a. IM8 IM8 nn b. n=1 n² + 2 +3 2n² C. e. ∞ n- Σ(-1) - n=1 d. Σ(-1)n-12-vn n=1 Hint: For (a) and (c), apply ratio test. For (d) and (e), use integral test. ne 2.4.6.... (2n) n! -n
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