a) Diverges.
b) Converges.
c) Diverges.
just C Decide if the following series converge or not. Justify your answers using appropriate tests...
Decide if the following series converge or not. Justify your answers using appropriate tests (12 marks): (a) An=1 (In 2)" (b) S=1 nắn+2 1 (c) 2n on=1 23n-1
(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
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
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
1. Answer the following questions. Justify your answers. (a) (3 marks) For what values of x does the series 1 + 22x 2 + 24x 4 + 26x 6 · · · + 22nx 2n + · · · converge? (b) (9 marks) Is the following series absolutely convergent, conditionally convergent or divergent? i. X∞ n=1 2 √ n − 2 √ n + 1 ii. X∞ n=1 arctan(n) n2 + 1 iii. X∞ k=1 (−1)k k 1. Answer the...
Please try to do all parts. Thanks! ple 2. Find 3. Determine which of the following series converge. Justify your conclusions with the appro -1)" In n (c) Σ dots not 4. Suppose we know that 0 S on S 1/n S an and that 0sn S1/n2 sd for all n. (a) Which of the series Σα", Σ h,De-, and Σ d" definitely converge? Justify your answer. (b) Which of the series Σα", Σ " Σ c", and Σ d"...
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...
Determine whether the following series converge or diverge. Fully justify your answer. T(-1)"(n? – 2n) 400n3 + 78972 2
Does the series converge absolutely or conditionally, or diverge? Please show appropriate tests. > (-1)^+1 en + 3 N=1