21 (5 points each) The series 3n+1 converges. no (a) Explain why the series converges. Indicate...
n--3n+1 (2) Explain why En=1 n1+1/n is not a p series and determine if it converges or diverges.
6. Determine whether each series converges or diverges by using an appropriate series test. Clearly indicate the series test used and show all work. (8 points each) (-1)"(n-1) a. 2n=1 ( Converges / Diverges ) by 72 b. En=2 n (Inn)* ( Converges / Diverges ) by
(-1)" (10 points each) Consider the series 회 (a) Is the series convergent? Support your answer with appropriate work and/or explanation. (b) Is the series absolutely convergent? Support your answer with appropriate work and/or explanation. (c) Is the series conditionally convergent? Explain.
how do i solve these questions 1. Consider each series. If the series converges, find the value it converges to. If the series diverges, briefly explain why. (a) 2pt] 232+ 3 9 2 8 (b) [2pt] Σ 2.7m-1 4n n=2 2. Consider Σ(-,--) (a) [2pt] Find a formula for Sn n +3 (b) [1pt] Find the value that the series converges to 3. Consider Σ (5.5 h) (a) [2pt] Find a formula for S (b) [1pt] Find the value that...
For each series indicate by name the test you are using, explain why the test applies to the series, and clearly show how you are applying the test. The types/tests you will need to use are listed here: Geometric Series, p-Series, Test for Divergence, Integral Test, (Direct) Comparison Test, Limit Comparison Test There are six series to test here. Each type/test listed above will be used EXACTLY ONCE. Be aware that more than one test could apply to a given...
How to do the first question? Thx (3 points) Determine whether each series converges or not. For the series which converge, enter the sum of the series. For the series which diverges enter "DIV" (without quotes). 3n-1/2 n-0 10" 105/1144 n=5 00103" n=
Question 21 Indicate whether the series, \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n+ 3} converges or diverges. Select one: a. Converges b. Diverges
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n 30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
Un=1 n! Q6-7: Determine whether each series converges conditionally, converges absolutely, or diverges. 1 3n2+4 6. An=1(-1)n-1 7. An=1(-1)n-1 2n2+3n+5 2n2+3n+5 Q8: Compute lim lan+1/an| for the series 2 m2 in Q9: Find the radius and interval of convergence for the series 2n=0 n! 1 Q10: Find a power series representation for (1-x)2 (2-43