an = In(3n2 + 1) – In (n² + 1)

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. ncos(n) %3D…

A: Given: an=ncos(n)n2+1

Q: Determine if the sequence Diverges or Converges. If it Converges, find its limit: {5/n2} n=1

A: Given query is find whether sequence converges or diverges .

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. ncos(n) an…

A: Squeeze theorem for sequence : Suppose limn→∞ bn =limn→∞ cn=L  and there exist N0∈ℕ such that…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: cos (n) an n2

A: on solving this we get the

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2 + 12n2 an =…

A: The given sequence is an=2+12n2n+14n2.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit.  a sub n = 3…

A: According to the given information, it is required to check whether the sequence converges or…

Q: Determine whether the sequence is convergent or divergent. If it is convergent, find the limit. an…

A: Given, an = ln(n +1) - ln n.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = ln(6n2 +…

A: Use logarithmic rules as follows.

Q: Does the sequence {(n^(3)+6n)/(e^(n))} converge or diverge? Why? If it converges, find its limits.

A: The solution is in step 2.

Q: iii tan 3n + 1 n=1

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: Here, note that the sequence an is convergent if  limn→∞an ia finite,

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = V22 + 3n

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: + 4n V1 + n?

A:

Q: Consider the sequence n2 an = V2n4 + 5n + 3 Determine if the sequence converges or diverges. If it…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (2n 1)! (2n +…

A: To check whether the given sequence is convergent or not , we first find the limit of the given…

Q: Determine whether the sequence converges or diverges. If it converges, find an = cos(n/5) lim an

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence is an=n2n3+2n

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: We can use the limit in order to solve the given problem.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞.…

A:

Q: Determine whether the sequence converges or diverges.If it converges, find the limit.

A: Given

Q: Determine whether the sequence converges or diverges.If it converges, find the limit.

A: if an be a function  then; by roots test limn→∞an1n>1⇒∑n→1∞an is convergent. and  limn→∞an1n<1…

Q: Consider the sequence n2 an V2n4 + 5n + 3 Determine if the sequence converges or diverges. If it…

A: If the limit of the sequence is a finite number then the sequence is convergent otherwise divergent.…

Q: In(8n2 + 8) – In(n²

A: We have to test the convergence

Q: 6n2 2 – 5n in 2n2 + 1

A:

Q: Determine whether the sequence converges or diverges.  If it converges, find the limit.   a sub n =…

A: To show convergence or divergence we have to find  If this limit equals a constant then the…

Q: 5n (b) n

A: Explanation of the answer is as follows

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. (a) a, =…

A:

Q: Determine whether the SEQUENCE converges or diverges. If it converges, find the limit: 3x n+4n-V5…

A: If the limit of the sequences is finite then it is convergent.

Q: (2n - 1)! (2n + 1)!

A: Given: we have ax=2n-1!2n+1!

Q: Determine whether the sequence converges or diverges. If it converges, find the limit.…

A: Given that - an=e2n/(n+2) an=ln(n+1)-ln(n)

Q: determine whether the sequence converges or diverges. if it converges finds the limit.…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit an=n3/(7n+5)

A:

Q: 1 + 4n² 1 + n? An %3D

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (5n – 1)! An

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Determine whether the given sequence is increasing, decreasing, or not monotonic; bounded below,…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {cos…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit.  an=3n/2…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If 7+ 2n2 an…

A: We have to find out limit

Q: Determine whether the sequence converges or diverges. If it converges, find its limit:

A:

Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (e) an…

A:

Q: 3nH an 46

A:

Q: Determine whether the sequence converges or diverges. If it converges, find its limit. n + 1 an = 9n…

A:

Q: 2. Determine whether the following sequence converges or diverges. If it converges, find its limit.…

A:

Q: Determine whether or not the sequence converges or diverges. If it converges, then find its limit.…

A: We use squeeze theorem to find the limit