Determine whether each of the following series are convergent or divergent. i. ∑ sin2 n / (n2 - 2) ii. ∑ 1 / √n! + 1 iii. ∑ (n - 1) / (n⋅√2n + 3)
Determine whether each of the following series are convergent or divergent. i. ∑ sin2 n / (n2 - 2) ii. ∑ 1 / √n! + 1 iii. ∑ (n - 1) / (n⋅√2n + 3)
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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Determine whether each of the following series are convergent or divergent.
i. ∑ sin2 n / (n2 - 2)
ii. ∑ 1 / √n! + 1
iii. ∑ (n - 1) / (n⋅√2n + 3)
C. Determine whether each of the following series are absolutely convergent, conditionally convergent, or divergent.
i. ∑ (-3)n2 / (n + 1)!
ii. ∑ (-3)n / (2n2 + 4n)
iii. ∑ (-2)n / ( 2n⋅√n +3 )
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