Determine whether the following sequence is convergent or divergent. Find limit if convergent. b sub n = sqrt(n + 5) - sqrt(n + 3) Show all steps

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

A: an = (-1)n/(8√n) When n tends to infinity  As numerator is a constant when n is sufficiently large…

Q: determine whether the sequence converges or diverges. if it converges, find the limit an=2+(0.86)n

A: The given sequence is: an where  an=2+0.86n     =2+86100n     =2+4350n

Q: 2n 1 + 9"

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

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

A: Our Aim is to determine whether the given sequence limn→∞ -8n!nn-(i)is convergent or divergent.

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 following sequence converge or diverge, and state whether they are monotonic…

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Q: Determine whether the following sequence converges or diverges. If it converges, find 3" where n >…

A: The given sequence is: an=3nn! ;           where  n≥1

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

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

A: We have given a sequence ,  xn = 31 + 19 arctann17n If we say that sequence xn is convergent , it…

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

A: Here we have to check the convergence of given sequence

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. (If an answer…

A: The nth term of the sequence is an=n2n3+6n We know that a sequence {an} is convergent if limn→∞an is…

Q: 1. Determine whether the following sequence converges. If so, find the limit. If not, state it…

A: Alternating Series Test Suppose that we have a series ∑an and either an=-1nbn or an=-1n+1bn where…

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

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

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

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

A: Consider the nth term of the sequence, . If the limit: limn→∞an exists and have finite value only…

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

A:

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

A: Given, sequence is

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

A: To get limit we can use property of limit that lim(f(x)+g(x))= lim(f(x))+lim(g(x)).

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

A: The given sequence is an=-3nn!

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

A: In order to fid whether the sequence converges or not first apply limit to an as n→∞. If the limit…

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

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

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

A: Given that:

Q: 5n (b) n

A: Explanation of the answer is as follows

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. n? an 9n² + 4

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

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Q: |(n+1)!] n!

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit an= 5-(0.3)n

A: Given : an = 5 - 0.3n

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(2n)}

A: To Find  The Limit of −1n2n

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

A: We have to check

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

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

A: Consider the sequence an with an=7+2arctann6n. We evaluate the limit limn→∞an as follows.…

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

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Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

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Q: Determine whether the following sequence converges or diverges, If it converges., find the limit 4n…

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

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

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Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit an= e8/(n+8)

A: an=e8n+8 We need to check whether it is convergent or divergent ∑n=0∞e8n+8 Apply divergence test if…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit an=3)n+3/7n

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

A: The given sequence is an = (1+(6/n))n.To check the sequence is converges or diverges as as take…

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

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

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Q: Determine whether the following sequence converge or diverge, and state whether they are monotonic…

A: Given:                    Sequence -0.7n                      The sequence is of the form…

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

A: As n tends to infinity if an tends to finite value then the sequence {an} is convergent otherwise…

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

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.