this is the 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 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. (Eg. specify nameumber of the theorem and section of the book.) sing the Ratio Test r1 Exercises 18, use the Ratio Test to determine whether each series converges absolutely r diverges. Using the Root Test In Exercises 9-16, use the Root Test to determine whether each series converges absolutely or diverges. 00 7 9. (2n + 5)" 10. n=1 (3n)" An + 3 n 11. M 8 3n - 5 n+1 12. n=1 - In ( @ 2 + ! ) )" 00 -8 13. n=1 (3 + (12)) 27 14. _ sin" ()Convergence of Alternating Series In Exercises 1-14, determine whether the alternating series converges or diverges. Some of the series do not satisfy the conditions of the Alternating Series Test. 1. E(-1)+1 1 n=1 Vn 2. (-1)n+1 1 n3/2Absolute and Conditional Convergence Which of the series in Exercises 1548 converge absolutely, which converge conditionally, and which diverge? Give reasons for your answers. 27. i (1)\"n2(2/3)" 11:1