

6. Use any method to determine whether the series converges. Indicate the test you are using....
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
5.
5. Use the integral test and the root test to determine whether the series converges. 1 2 al Ext(n) (+) (b) È C +3)* (14 pts) 6. Determine whether the series is absolutoly conrormont condition 11
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...
use the direct comparison test to determine whether the series
converges or diverges
4. Use the direct comparison test to determine whether the series converges or diverges. (8 points) Š n 2n3 + 1
Use the ratio test or the root test to determine whether the series converges or diverges. Do 2 problems. **(n+8)3" 2) (-8) 4) (-1)** (n°352 (n+1)*4*3
Number 5 and 8
Use the integral test or divergence to determine whether the series converges. 4) 3 5) Sr Use the Alternating series test to Determine if the series converges or diverges.
9. Use any method to determine if the series converges or diverges. Give a reason for your answer. 8. (2n)! n-17"(n + 5) b. 11 + 9n2 3n6 + 5 + 5
please show all work
Use any method to determine if the series converges or diverges. Give reasons for your answer. n! Σ (2n + 3)! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is O c. The series converges because the limit used in the nth-Term...
In each case determine whether the given series converges absolutely. Prove your answer and cite any test you use by name. Make sure to check that the test can be applied. a. . b. Σ(-5)"n/n Σ(-1)*)/(-1) + 3): m=1
5. Use the integral test to determine whether the series converges or diverges: n=1