[8 points) Find the limit of each sequence. If the sequence diverges, say so. Justify your...
15. Determine whether the sequence diverges or converges. If the sequence converges, find its limit. 3n+1 (a) an = 3nt3 (b) an = 2:+20 100000n3+n+1 n5+2n+1 (d) an = cos (77) (e) an = Inn
4. (4 pts each) Find the limit, if it exists, of each sequence. Justify your answer. If the limit does not exist, state why. пт 3"-2" (a) an = sin (b) bn 4n - 3
For each of the following sequences, find the limit of the sequence and then say whether the sequence converges or diverges. Show your work (1) {an} = {()" - 5} (2) {an} = {In (2 - 5)}
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 2n + 8 lim an ho Submit Answer
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
Find the limit of the following sequence or state that it diverges. n 2 tan n+ 3 Select the correct choice below and if necessary, fill in the answer box to complete your choice. O A. The limit of the sequence is OB. The sequence diverges.
determine whether the sequence converges or diverges, if so find the limit. n22-n ап =
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13 n8n (i) Determine whether ah diverges. If the sequence converges, find its converges or limit. o0 (ii) Determine whether r diverges. Justify your ansv swer an Converges o n-1 (b) Consider the series (2n)! 2 (n!) and determine whether it converges or diverges. Justify your answer IM8 8 Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13...
Select all that are true. Determine if the sequence converges or diverges. If it converges, find the limit: bn = (Vn+2020 - Vn)((n +2021) * another answer converges to 0 diverges by the divergence criterion converges to 1010 converges to 2020 diverges converges to 1/2
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...