Determine whether the sequences converge or diverge 1. {ne"}n=1 2. n=1

Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Firstly We will expand ln(n^5) = 5ln(n) Then we will find the limit , if limit is finite then…

Q: (с) V21+3n An = (d) (2n – 1)! An (2n+1)! (е) V2, V2/2, 21

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: The given series is (2-4), 3-5, 4-6, ...

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

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

A: Given sequence an=n3n+1let  an≥0  and bn≥0  be two sequence  such that an>bnif  bn diverges then…

Q: 8. Determine whether the sequence an n3" %3D converges or diverges.

A:

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges,…

A: Given that: 13lnnnn=1∞

Q: Q1. By using the delinition of the convergence sequence, show that whether the sequence 2n n=1…

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: we have to find weather the sequance is converge or diverge. the solution is following

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: 2. Determine whether the given sequence {an} converges or diverges with an as given. In each case,…

A:

Q: Does the sequence an converge? n(n+1) If so, what does it converge to?

A: We need to verify whether the given sequence converges or not. So,

Q: Decide whether the sequence converges or diverges. If it converges, to what does it converge?…

A: Checking convergence

Q: 8. Determine whether the sequence a n3n converges or diverges.

A:

Q: Determine if the sequence converges or diverges: In n n2

A: To check whether a sequence is convergent or divergent first calculate its limit if limit is finite…

Q: (a) an = 5+7n² n+ 3n²

A:

Q: 3) Justify whether the sequence converges diverges or a-an. 2-n こうe abicai b- an =(-1)"

A: Given: a. an=n2e-n, b. an=-1nn2+1n2+3

Q: 3) Determine whether the sequence converges or diverges. If it converges, find the limit. 3n+2 An 5n

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Q: Determine whether the sequence converges or diverges. If it converges, compute the limit.    an =…

A: Use ratio test

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given: an=en4n given series is geometric series whose first term is e4 and common ratio is e4 we…

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

A: If limn→∞an exists and is finite we say that the sequence is convergent. If limn→∞an doesn’t exist…

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

A: Given, an=3+5n2n+n2 We know that, The sequence an is called convergent, if limn→∞an  is a constant…

Q: which of the following sequences is converge or diverge: (²√m) ()}. {!}

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Q: 3" b) а, 2"+5

A:

Q: which of the following sequences is converge or diverge: {²√n} ( 103

A: sequence converges

Q: which of the following sequences is converge or diverge: {²√n}, {} 8.6 10n

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Determine whether the nonincreasing sequence converges or diverges. 5) an 1 +V8n n A) Converges B)…

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Q: 5. Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an =n - Vn² - 18n 18…

A: an=n-n2-18n

Q: 8. Determine whether the sequence a, = n3" converges or diverges. 4n

A:

Q: 5) Determine whether the sequence converges or diverges. If it converges, find the limit. n3 An n +

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

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

A: The nth term of the given sequence is,

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We will find the limit of an as n approaches infinity to check if the sequence converges or…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. In(5n)…

A: Find the limit of the sequence, in order check the sequence converges or diverges.

Q: Note: If it converges, consider whether it is geometric or telescoping and enter its sum. If it…

A:

Q: { n2 100 3n+6 Jn=1

A: Explanation of the answer is as follows

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 2n an 3n+1

A: Use limit ratio test to simplify and solve the problem easily.

Q: {Vn - Vn +1}

A:

Q: In(n) An

A: we limit is finite then sequence is converges

Q: Does the sequences converges or diverges ? n (Vn), (n²e-n) en

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Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit. an 21+3n =

A: Solution:an=21+3nnOn rewriting this equation, we get 21+3nn which turns into [21n(23)]Here 23=8 that…

Q: 7-Зп + 5n* а) а, 6+4n- 2n?

A: We have

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

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

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Q: Does the sequences converges or diverges ? ) , (Vm), (n²e-")

A: As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Q: 8. Determine whether the sequence an n3n converges or diverges. %3D

A: