Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't...
Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't forget to state the tests from class that you are using!). If any of the convergent ones can be evaluated by the techniques we have learned in class, you should give their value as well. An: + 3n" + 7n +2 In(In(n)) (1) V3n13 - 2n° +55 +n +3 An In(n) 8] (ii) ns16 Σ (3n)! (n!) 33" (iv)
Pt 1 pt 2 pt 3 pt 4 Please Answer every question and SHOW WORK! Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
2. (28,9) Do the following series converge or diverge? SUPPORT YOUR ANSWERS. You do not have to find the sum. 7n2 - 3n A. Σ ? 2n? +7n +1000 cos(NA) B. IM Vn C. 2*32-
1. Determine if the following series converge or diverge. If they converge give the value of the series. q-n+24n+1 n=1 37n 2N=14+4n 2 72 C. 271 1. Determine if the following series converge or diverge. If they converge give the value of the series. q-n+24n+1 n=1 37n 2N=14+4n 2 72 C. 271
State whether the following series converge absolutely, converge conditionally, or diverge. Clearly state the reasons for your answers 2n (a) 3n 72
12. Determine whether the following series converge or diverge. (a) (b) 2-nzn-1 4n n=0 n=1 4n (-1)n+1 loge n (c) (d) 7n + 1 n n=1 n=3 iM: M: Mį M8 sinn (e) ✓n n2 + 2 (f) n2 n=1 n=1 2n en (g) (h) Vn! n=1 n=1
(1) Determine whether the following series converge or diverge: (a) Σ=0 η2 n=1 (b) Σ=0 520 και (c) Σ=2 /n ln (η) 2n (4) Σ. sin(1) η2 (e) Σ1 (1) Σ=1 n2-3n+1 ln(η).
7. Determine whether the following series converge or diverge. Show your work for full credit. State the test you use and show the reasoning that allows you to use that test. a) o ni+sin(n) a 2n=1 4+2n-1 Joo 52n+3 c) c) n=1 (2n)!
Determine if the following series converge or diverge, using any of the methods we discussed in class. Be sure and state which test/method you used, and show all relevant steps for full credit. If a series converges, be sure and state/show if it converges absolutely or conditionally. Answers without work shown may be given no credit 2-1 (g) Σ n(ln(n))3 2-1 (g) Σ n(ln(n))3
(a) (6 marks) Does the series (–19* sin( , ) converge or divergor Justi (a) (6 marks) Does the series converge or diverge? Justify your answer and state any test(s) you used. (-1)" cos(4n) (b) (2 marks) Consider the series . Explain why the Alternating Series Test can NOT be consider the senes 2 2n3 . used to determine whether the series converges or diverges.