3. Determine if the following series converge or diverge. If the series converges determine its sum....
2 Determine whether the following the following sequences converge or diverge. If it converges, find the limit. (a) an = cos () 2n (b) a = In 2n + 1 3 (a) Does Î- (-)" converge or diverge? If it converges, find its sum. n=1 (b) Show how > 41-13-" can be written in the form of a geometric series. Does it converge or diverge? If it converges, find its sum. n=1
does the series converge or diverge and why? If it converges find a sum. (2b) lim 1c. Does the following si in (n+3) lim In(n+3) nyo n+3 lim nt3 2 (2 points). If the terms of a se converge? Why or why not? have to be O. An example 3 (4 points). Does the series co 2a. § 8(9)"=3 n = 1 26. I 2 k = k + 6k+8 4 (2 points). If the terms of a se Why...
Given the series: 9 k k=1 does this series converge or diverge? converges diverges If the series converges, find the sum of the series: k Preview (If the series diverges, just leave this second box blank.)
1 sin )-sin Determine whether the following series converge or diverge. +1 Select one a. Diverges b. Converges, and the partial sum is 1 C. Converges, and the partial sum is sin 1 2 d. Converges, and the partial sum is 0
(10 pts) Does the following series converge or diverge? If it converges, then to what does it converge? 2.4"-2 1-15"-3
Does the following series converge absolutely, converge conditionally or diverge? jo (-1)4+1 27k diverges converges absolutely converges conditionally Box 1: Select the best answer For the series below calculate find the number of terms n that must be added in order to find the sum to the indicated accuracy. 2 (-1)"+1) 2n3 +4 error] < 0.01 n= Preview Find the sum of the series correct to 2 decimal places. Sum = Preview Box 1: Enter your answer as a number...
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
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
Does the integral dx/(9x−2)^2 Converge or diverge? If it converges what is its sum? bounds: 2 to infinity
(a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1 (a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1