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5. Determine (with proof) if the following series is converging absolutel converging conditionally or diverge iMaiMe Σ b. 1. (-1)-12-√ n=1 n² + 2 2n² +3 C. n=1 -2-4-6-(2n) 2.4.6 n! n=1 Σ(-1)"-ne-²

5. Determine (with proof) if the following series is converging absolutel converging conditionally or diverge iMaiMe Σ b. 1. (-1)-12-√ n=1 n² + 2 2n² +3 C. n=1 -2-4-6-(2n) 2.4.6 n! n=1 Σ(-1)"-ne-²

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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pls answer no. 5 letter d and e

5. Determine (with proof) if the following series is converging absolutely. converging conditionally or diverge 3. n b. n² + 2 Σ2² +3 n=1 5. hen the series Σ l Suppose C. 1. Σ(-1)"-12-√ c. Σ(-1)-ne-² n=1 n=1 Hint: For (a) and (c). apply ratio test. For (d) and (e). use integral test. TIP n=1 2.4.6. (2n) n! : R R is a bounded function. Show that if p > 1. is converge absolutely.
Transcribed Image Text:5. Determine (with proof) if the following series is converging absolutely. converging conditionally or diverge 3. n b. n² + 2 Σ2² +3 n=1 5. hen the series Σ l Suppose C. 1. Σ(-1)"-12-√ c. Σ(-1)-ne-² n=1 n=1 Hint: For (a) and (c). apply ratio test. For (d) and (e). use integral test. TIP n=1 2.4.6. (2n) n! : R R is a bounded function. Show that if p > 1. is converge absolutely.
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