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In(5n+3) - In(5n³ + 8n+6) diverges by the Divergence Test. o 2+(1/) is convergent by the comparison Test. (1) The series (II) The series (III) The series n-3 (a)(inn) converges by the Integral Test. 83 (IV) 0.83=0.838383.... 100-83 (V) The series ()" is convergent by the root test. -1

In(5n+3) - In(5n³ + 8n+6) diverges by the Divergence Test. o 2+(1/) is convergent by the comparison Test. (1) The series (II) The series (III) The series n-3 (a)(inn) converges by the Integral Test. 83 (IV) 0.83=0.838383.... 100-83 (V) The series ()" is convergent by the root test. -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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11. Which of the following statements are TRUE? (1) The seriesIn(5n+3) - In(5n+8n+6) diverges by the Divergence Test. (II) The series o 00 2+sin(1/n) 8" is convergent by the comparison Test. (III) The series n-3 (lan)la(inn)] converges by the Integral Test. 83 (IV) 0.83=0.838383.... 100-83 72 (V) The series (2) is convergent by the root test. 2n+n A. III,V B. II and III C. II,IV,V D. I,III,IV E. II and V
Transcribed Image Text:11. Which of the following statements are TRUE? (1) The seriesIn(5n+3) - In(5n+8n+6) diverges by the Divergence Test. (II) The series o 00 2+sin(1/n) 8" is convergent by the comparison Test. (III) The series n-3 (lan)la(inn)] converges by the Integral Test. 83 (IV) 0.83=0.838383.... 100-83 72 (V) The series (2) is convergent by the root test. 2n+n A. III,V B. II and III C. II,IV,V D. I,III,IV E. II and V
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