For each of the following sequences, find the limit of the sequence and then say whether...
Question 3 (18 points). Determine whether the given sequence converges or diverges. Find the limit of each sequence (including too if appropriate) or state that the limit does not exist (DNE). Prove all of your claims and reference the theorems on sequences that you are using. Hint: The fifth word of this question is sequence, not series! (a) an = (-1)" sinn
Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. = ne-7 lim Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE.
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) a, = 5 + 8n2 " n + 8n2 lim n >00 an = Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = e-9/vñ lim n >00 an =
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 1 1 1 1 1 2' 5' 3' 6' 4' 7' {*}**, 3,..} liman
005 10.0 points Determine whether the sequence {an} con- verges or diverges when en = (-1)" (5n+) (5n+7) (5n+4) and if it does, find its limit. 1. sequence diverges 2. limit = 0 3. limit = +1 4. limit 5. limit = 1 006 10.0 points Which of the following sequences converge? A. _2n | 3n +4J 4en +6) 5n+6 C. {_3en1 C. (4+2en) 1. A and C only 2. B only 3. none of them 4. A, B, and...
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) n3 an 2n3 + 1 1 lim an = n00 5
1. For each of the following sequences, determine whether it converges. If so, find the limit. 2n+1 5n-2 a. b. 4. =(-1)"." 2n 2"-1 c. n
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an (2 2n! lim an
[8 points) Find the limit of each sequence. If the sequence diverges, say so. Justify your answer a) an = {2n/(n+2) (Inn) b) bn n