1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard...
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...
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. n=3 We were unable to transcribe this image
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) 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
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...
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1 Question 2 (10 marks) In this question you must state if you use any...
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...
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...
just C Decide if the following series converge or not. Justify your answers using appropriate tests (12 marks): (a) Lm=1 (In 2)" n3 1 (b) 2in=1 nyn+2 (c) 2 n=1 23n-1
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....