below is form requirement

Writing: Solutions should be presented in a balanced form: combining words and sen tences which explain the line of reasoning: and also precise mathematical expressions, formulas and references justifying the steps you are taking,r are correct. In general, you must give a precise reason for why a sequence is divergent or convergent. Similarly, if the sequence is converge, please justify to the best of your ability the claimed limit in your answer. If you are using theorems in lecture and in the textbook} make that reference clear. {E.g. specify nameumber of the theorem and section of the book.) Limit Comparison Test In Exercises 9-16, use the Limit Comparison Test to determine whether each series converges or diverges. n - 2 9. n= n3 - n2+ 3 (Hint: Limit Comparison with ) (12)) n +1 10. n=1 n2+ 2 (Hint: Limit Comparison with )(1/V7)) n (n+ 1) 11. M 8 n-2 (n2 + 1) (n - 1) 2n 12. 3+ 4n n=1Determining Convergence or Divergence Which of the series in Exercises 1756 converge, and which diverge? Use any method, and give reasons for your answers- n21 CD 18 z 3 11:]. 11+ V/ m sin n 19. 2 2\" 00 20. Z 1 + cos n 21. 22. 23. 24. 00 n n 25. z:(3'n+l) m 1 26. g Vn3+ 2 27