In this question carefully justify your conclusions by refering to the appropriate tests.
(a) Determine whether the following series converges or diverges:
(to infinity) (n*(sin(n))^2)/((n^3)-7)
(b) For which integer values of p does the following series converge?
(to infinity)((2^(pn))(n+p)!)/(n+p)^n
please write your answers on a piece of paper and take a photo for clarity.
In this question carefully justify your conclusions by refering to the appropriate tests. (a) Determine whether the foll...
1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard limits. (a) Determine whether the following series converges or diverges: n sin2 n 73-7 rl n-3 b) For which integer values of p does the following series converge? 00p)! n+p)m 1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard limits. (a) Determine whether the following series converges or diverges: n sin2...
1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard limits. (a) Determine whether the following series converges or diverges: n sin2 n (b) For which integer values of p does the following series converge? oo 2pm (n +p)! n lpl
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...
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) 8+ cos 10k 9 O A. Because 9 E and, for any positive integer k, E converges, the given series converges by the Comparison Test. 8 k=1 00 OB. The Integral Test yields f(x) dx = so the series diverges by the Integral...
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko k=1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a p-series with p= so the series converges by the properties of a p-series. 00 OB. The Integral Test yields J f(x) dx = .so the series diverges by the Integral Test. 0 6 + cos 3k O...
State whether the following series converge or diverge. Be sure to state any tests that you use to reach your conclusion. List and support all conditions that are met to make your conclusion. (a) 3n2 5-n (b) iM8 We were unable to transcribe this image(p)
Determine whether the following series converges. Justify your answer. Σ 2 (k+5)3 k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a p-series with p= so the series converges by the properties of a p-series. OB. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. OC. The series is a p-series with...
Use the Limit Comparison Test to determine whether the series converges or diverges. ∞ n = 1( n^0.6/ln(n))^ 2 Identify bn in the following limit n→∞ an/bn =? It's convergence or divergence?? We were unable to transcribe this imageWe were unable to transcribe this image
QUESTION 8.1 POINT Determine whether the following geometric series converges or diverges, and if it converges, find its sum. -4()** If the series converges, enter its sum. If it does not converge, enter Ø. Provide your answer below: P FEEDBACK Content attribution QUESTION 9.1 POINT Given 72 2 (n! Inn)" which of the following tests could be used to determine the convergence of the series Select all that apply. Select all that apply: The alternating series test. The ratio test....
(1) Decide if the following series converge or not. Justify your answers using appropriate tests (12 marks): m3 (a) In=1 (In 2) (b) = n(n+2 (c) L=123n1 1