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i. k=1 (-3)2k+1 (k+2)! ii. k=2 k+ln(k) + cos² (k) + 2 2k2 + k + 1

i. k=1 (-3)2k+1 (k+2)! ii. k=2 k+ln(k) + cos² (k) + 2 2k2 + k + 1

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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(b) Determine whether the following series converges or diverges. No matter which test you use, please be sure to state the name of the test, and write down what you are doing as you check all the things you need to check. ∞ 1. Σ k=1 (-3)2k+1 (k+2)! ∞ ii. Σ k=2 k+ln(k) + cos² (k) + 2 2k2 + k + 1
Transcribed Image Text:(b) Determine whether the following series converges or diverges. No matter which test you use, please be sure to state the name of the test, and write down what you are doing as you check all the things you need to check. ∞ 1. Σ k=1 (-3)2k+1 (k+2)! ∞ ii. Σ k=2 k+ln(k) + cos² (k) + 2 2k2 + k + 1
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