1. Find the limit of the following sequence: 125/2 +2n+ 1 13 + 5vn A. 1 B. 1/5 C. 0 D. 2 E. divergent F. None of the above 2. Find the limit of the following sequence: ( (1- # ) " ) A. 2 B. -3 C. 6 D. e-6 E. 2 F. None of the above 3. Find the limit of the following sequence: A. B. 20 C. 10 D. e-10 E. e-20 F. None of the above4. Find the limit of the following sequence: 3125m ) 30 A. 3125 B. 3124 C. 0 D. 1 E. diverges F. None of the above 5. It is given that the series > an converges to L. If S,. = ) at is the n't partial sum of this series, then find lim S,. n=1 A. 0 B. L C. 1 D. co E. None of the above 6. Which of the following series diverges by Basic Divergent Theorem? n'+ 5 A. - 3n7 + 1 1 B. 1=1 C. n=1 (n + 1)! 2n D. n=1 Vn'+4 E. None of the aboveN. None of the above 7. Find the sum of the following series if it exists: 1 - 2k 3k+1 A. 1/2 B. 3/2 C. -1/2 D. 3 E. None of the aboveDetermine whether the following series converge or diverge. Choose (C) if the series converges, and (D) if it diverges. 8. 14 2 5n 9. 1 2 n In (n-) 10. n[ In[ n) )- 11. E n+2) n+1 12. n - 1 Gn + 6 13 . E. + 14 . 15. (1/3) 16. [-1)" In(n]] 17. (-1)" 2 - n In(n-)Determine whether the following series is absolutely convergent, conditionally convergent or divergent. Choose (A) for absolute convergence, (C) for conditional convergence and (D) for divergence. 18. (-1)" In(n) 72 1=2 19. (-1)"32n+1 25n-1 n=1 20. 5 (-1)" n= 1' Vn2+ 1 21. 7=1 72 3 + 5 22. (-1)" (n+2)2 n=1 (n + 1)(n + 3) 23. (-1)2 50 n2 n! 7=1 24. (-1)" (n7 + 2n6 - 12) n=1 (n9 - 3n* + 2n) 25. (-1)" arctan (n) M n=1 n2+ 1