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Determine whether the series converges or diverges. Show Work for credit, no guessing. 15. Er In (n2+1 (2n2+1. 16. E. V5 S n'+2 17. n=1

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Determine whether the series converges or diverges. Show Work for credit, no guessing. 15. Er In (n2+1 (2n2+1. 16. E. V5 S n'+2 17. n=1 4n-1 n-1 Hint-LCT 18. Hint-LCT 1=14 2n+ 1 n ,3 19. C(-1) n Hint-AST 20. iM: Hint-LCT 2+ 3" n=1 n*+12" 21. Hint- Ratio Test 22. E2 Hint-LCT 1=1 n! n2 23. 22 76+5 -Hint-LCT 3 24. 22 n(n+3 ) Hint-LCT 25. Ex In 2n Soo In(n) In+1 26. 21 n Hint-Use the Integral test cos (not )n (-1)"2" iM: 27. n- +1 Hint-AST 28. 11=0 n! Hint-Ratio Test 2n S 29. 1=1 n' Hint-Root Test 30. Er (V2 - 1) Hint-Root Test 31. No (-1)" 21 In (n ) Hint-Ratio Test 32. Er(-1)n n Hint-AST 2n2+1 n2+1 ) n (-1)n 33. ZI (2n2+1. Hint-Root Test 34. 21 [tan-1 (n)]n Hint-Root Test

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