Determine whether each of the following series are absolutely convergent, conditionally convergent, or divergent. i. ∑ (-2)n2 / (n + 2)! ii. ∑ (-3)n / (3n2 + 6n) iii. ∑ (-4)n / ( 4n⋅√2n +1 )

Determine whether each of the following series are absolutely convergent, conditionally convergent, or divergent. i. ∑ (-2)n2 / (n + 2)! ii. ∑ (-3)n / (3n2 + 6n) iii. ∑ (-4)n / ( 4n⋅√2n +1 )

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 82E

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Question

Determine whether each of the following series are absolutely convergent, conditionally convergent, or divergent.
i. ∑ (-2)ⁿ² / (n + 2)!
ii. ∑ (-3)ⁿ / (3n² + 6ⁿ)
iii. ∑ (-4)ⁿ / ( 4ⁿ⋅√2n +1 )

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