2)Does 2e or diverge? Explain why. Ifit converges find 12e4n-42418n 2n1 36e1,+ 4224m the sum. 3) ...
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...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
Does the integral dx/(9x−2)^2 Converge or diverge? If it converges what is its sum? bounds: 2 to infinity
Please include answer letter
Does the series Σ converge or diverge? 1+ 2 n=1 Choose the correct answer below. O A. The series diverges because it is a p-series with p s 1. OB. The integral test shows that the series diverges. OC. The nth-term test shows that the series diverges. OD. The integral test shows that the series converges. O E. The series converges because it is a p-series with p > 1. Click to select your answer.
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n Σ 4n+4 00 Σ (+: 4 4 n7 n15 W Converges-Integral/Comparison Test Converges-Ratio Test Converges-Alternating Series Test Diverges-Integral/Comparison Test Diverges-Ratio Test Diverges-Alternating Series Test
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
Determine if the series converges or diverges; if the series converges, find its sum 3 [(-1)-1 7 nu OA Converges; 1/6 OB Converges; 3/8 OC Converges: 1/2 C D Diverges: -00 of Converges: 1/8
1. or each of the series below, use the divergence test to see i the seies diverges, or state that the test is inconclusive. 3n 2 2n +1 2. If lim, roan 0 can we always conclude that Σ 1 an converges? If not, give an example showing this fails. 3. Determine if the following p-series converge or diverge. A. TL TL 4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-subsitution...
1) Show that Σ COSNTT N converges/diverges. N-1 2) Find the sum Σ e-N N-1 00 n 3) Show that Σ converges/diverges n=1 + 1