For problems #1-6 determine whether the infinite series converges or diverges. Remember you have to give...
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
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...
1. Determine whether the series converges or diverges.$$ \sum_{k=1}^{\infty} \frac{\ln (k)}{k} $$convergesdiverges2.Test the series for convergence or divergence.$$ \sum_{n=1}^{\infty}(-1)^{n} \sin \left(\frac{3 \pi}{n}\right) $$convergesdiverges
Determine whether the series 2 (+ )" 4n converges or diverges. a) diverges b) converges c) cannot be determined
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. K-1 2 (0)" k = 1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) B. The series diverges.
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. k=1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) OB. The series diverges
Use the Limit Comparison Test to determine whether the series converges or diverges 7n2+2 4n° +3 n-l Use the Limit Comparison Test to determine whether the series converges or diverges 7n2+2 4n° +3 n-l
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 k=1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) OB. The series diverges.
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 k-1 k= 1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction) B. The series diverges.
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 Ik-1 k=1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) O B. The series diverges.