Series converge or diverge By using integral test, the convergence or divergence of following series can...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Determine if each of the following seven series converge or diverge. Do not use a test for convergence or a test for divergence more than once. IF you use the Integral Test, do not bother to show me that you checked the three prerequisites to that test. Στη n=0π" +η"
Use the Direct Comparison Test to determine the convergence or divergence of the series Ž 8n The series E_81 diverges 2-1 (+4) The series Ē_81 converges -1 (n2+41
Test for convergence or divergence of the series and identify the test used. In(n) n n = 2 O diverges by the Direct Comparison Test O converges by the Direct Comparison Test O converges by the p-Series Test O diverges by the p-Series Test Determine the convergence or divergence of the series. (If you need to use co or -, enter INFINITY or -INFINITY, respectively.) 00 į (-1)"(4n – 1) 3n + 1 n = 1 4n - 1 lim...
Use the integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and therefore 2 ke- Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. Since the integral dx converges to the series also converges. (Type an exact answer.) OB. Since the integral xe ** dx diverges, the series also diverges O c. The Integral Test does...
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...
sd. Detamine the convergence or divergence of an aternating series tt Detemne me convergence or divergence of sees-.1 the-compl or direct comparisom test. (You must jusitity your answer to get a credit 12. Determine the convergence or divergence or inconclusive of the series:Using the rasio test tYou must justity your answer to get a credit) We were unable to transcribe this image10. Determine the convergence or divergence of an alternating ser (You must justithy os (-1) your answer to get...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...