State whether the following series converge or diverge. Be sure to state any tests that you...
Find if these series converge or diverge. Include the name of the test used to determine this. infinity cos(1/n) n=1 We were unable to transcribe this image
Determine whether the following SERIES converge or diverge. Your work should include: 1) the name of the test used 2) the execution of the test and any conditions required for execution 3) the conditions for convergence/divergence 4) conclusion 2 3 6) Please use the integral test for this series; it is not necessary to find the derivative to conclude the function is n(inn) decreasing, but you must state the 3 conditions required. n=2
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
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)!
In this question carefully justify your conclusions by refering to the appropriate tests. (a) Determine whether the following series converges or diverges: (to infinity) (n*(sin(n))^2)/((n^3)-7) (b) For which integer values of p does the following series converge? (to infinity)((2^(pn))(n+p)!)/(n+p)^n please write your answers on a piece of paper and take a photo for clarity. n=3 We were unable to transcribe this image
Compare each series below to a p-series to determine whether they converge or diverge. Write your answer using the correct language and format. 2. 11 1 +1 n #18 18 3. 3n + 2 n2+4
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n) 4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)
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. 4 + 3n" + 7n +2 In(In(n)) (1) Σ 3n13 - 2n° +58 +n +3 4n In(n) (ii) 16
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...