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In Exercises 1–8, use the Ratio Test to determine if each series converges absolutely or diverges. 2" 1. ) 2. 2(-1)" n + 2 3" п! n=1 n=1 (п — 1)! 3. У (n + 1)² 2n+1 4. ) n=] n3n-1 n=1 nt 5. ) 0 3n+2 6. ) n=1(-4)" In n n=2 7. Σ-1ν. n'(n + 2)! n5" 2 (2n + 3) In (n + 1) 8. n=1 n! 32n n=1

In Exercises 1–8, use the Ratio Test to determine if each series converges absolutely or diverges. 2" 1. ) 2. 2(-1)" n + 2 3" п! n=1 n=1 (п — 1)! 3. У (n + 1)² 2n+1 4. ) n=] n3n-1 n=1 nt 5. ) 0 3n+2 6. ) n=1(-4)" In n n=2 7. Σ-1ν. n'(n + 2)! n5" 2 (2n + 3) In (n + 1) 8. n=1 n! 32n n=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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In Exercises 1–8, use the Ratio Test to determine if each series converges absolutely or diverges. 2" 1. ) 2. 2(-1)" n + 2 3" п! n=1 n=1 (п — 1)! 3. У (n + 1)² 2n+1 4. ) n=] n3n-1 n=1 nt 5. ) 0 3n+2 6. ) n=1(-4)" In n n=2 7. Σ-1ν. n'(n + 2)! n5" 2 (2n + 3) In (n + 1) 8. n=1 n! 32n n=1
Transcribed Image Text:In Exercises 1–8, use the Ratio Test to determine if each series converges absolutely or diverges. 2" 1. ) 2. 2(-1)" n + 2 3" п! n=1 n=1 (п — 1)! 3. У (n + 1)² 2n+1 4. ) n=] n3n-1 n=1 nt 5. ) 0 3n+2 6. ) n=1(-4)" In n n=2 7. Σ-1ν. n'(n + 2)! n5" 2 (2n + 3) In (n + 1) 8. n=1 n! 32n n=1
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