Show All Work!!! Determine if the following series converge. If it converges, find its limit L...
determine if the following series converge. if it converges,
find its limit L (if possible)
5. Σ. In()
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
All three questions
Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n
(b) Determine for which values of x the following series converges and find the limit for all the values of x where the series converges: (-1)" sin(ne) n n=1 Does this series converge uniformly on R? (c) Find the value of M8 1 n4 n=1
3. Determine if the following series converge or diverge. If the series converges determine its sum. Answers without justification will receive no credit. (a) § (-1)k7k 11k k= 0
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 if the sequence converges or diverges. If converge, find
the limit.
iii. an (1-2) ni!
please show all work
Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
please show all work
Use any method to determine if the series converges or diverges. Give reasons for your answer. n! Σ (2n + 3)! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is O c. The series converges because the limit used in the nth-Term...
Determine if the following series is absolutely converge or divergent. Show all your work. 00 in= =1 in (-1)" ( n+1