On exercises 5-8, show whether the series converges or diverges using an appropriate test. * 2k+33k-3...
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
Use an appropriate test to determine whether the series given below converges or diverges. Show all work needed to support the conclusion of convergence or divergence. State all tests used. Give any values of "r" or "p" or limits used. (n+7)(n+3) n = 1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges. OB. The series diverges.
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 following series converges or diverges. 2k E VK²+7 k= 0 V Choose the correct answer below. O A. According to the Divergence Test, the series diverges because lim ak +0. k→ B. According to the Divergence Test, the series converges because lim ak = 0. k+00 OC. According to the Divergence Test, the series diverges because lim ak = 0. ko D. According to the Divergence Test, the series converges because lim ak +0. ko O E....
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
just number 8 please and show work thank you Determine whether the series converges or diverges, and explain why. If it is a geometric series that converges, find the sum. 1 6) n-3 n=1 MoMo Mo 7) n= 5 ani 8) n+4 an
Use an appropriate comparison test to determine whether the following series converges or diverges. m2 +4 2 3n3 – n-1
8-31 Determine whether the series - converges or diverges. If it converges, find the sum. (If the quantity diverges, enter DIVERGES.) Son 8-31 n=1 - = nsion Determine whether the series converges absolutely, conditionally, or not at all. (-1) - 1 n1/2 n=1 The series converges absolutely. The series converges conditionally. The series diverges. For which values of x does (n + 4)!x converge? n = 0 (-0,00) (-1,1) O no values exist O x = 0 (-4,4) Find the...
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
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