1 2аn + 3 1 for all n > 1. Show that the sequence {an} is 8. Let a1 > 0 and an+1 = convergent and find its limit.

Q: Determine whether the sequence is convergent or diver- gent. If it is convergent, find the limit. 1…

A: Given:To determin whether an=13n4 is convergent or divergent

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

A: an=2n+3 apply limit n→∞ if limn→∞an=L then the sequence is converges and if limn→∞an=∞ then the…

Q: Find the limit of the sequence whose nth term is an = In(2n + 1) or show the sequence diverges. Be…

A:

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

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 5+(-1)n an= Diverges

A: The given limit of the sequence is an=5+-1n5. The above sequences have two repeats values for all…

Q: 16) Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We determine the convergence or divergence of the given sequence by sandwich theorem. The sandwich…

Q: Determine whether the sequence 2ñ sin converges or diverges. If it con its limit. 27 1 1 2 diverges

A:

Q: Consider the sequence 6" an 2+7" * Determine if the sequence converges or diverges. If it converges,…

A: Given:

Q: Determine whether the sequence is convergent or diver- gent. If it is convergent, find the limit. n³…

A: To Determine: find whether the sequence is convergent or divergent ,if it is convergent find the…

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

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 7n in an

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 9n-7 an S+1n -7 9.…

A: Given  The sequence is an=9n-78+1n.

Q: 1 {4 +

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an=3-n 3 3. Diverges

A: Given: an=3-n

Q: (п +5)(п — 3) 1 | converges. If so, find its limit. n-1 Determine whether the sequence 4n?

A:

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

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an - 1)" for n =1, 2,…

A: we have to find

Q: Find the limit of the sequence if it converges; otherwise indicate it diverges. 7+4n an = 8+3n…

A: Given that, the sequence is        an = 7+4n8+3n we have to find the limit of the given…

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

A: an = −3−n We need to determine the convergence or divergence of the sequence with the given nth term

Q: 11. Determine whether the sequence an = 8 + converges or diverges. If it converges, n find its…

A:

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

A:

Q: 2) Show that the sequence defined recursively by 3 4 An aj = 5 аn+1 satisfies 2 < an < 5 and is…

A:

Q: Determine whether the sequence an= 1^3/n^4+2^3/n^4+...+n^3/n^4 converges or diverges. If it…

A: To discuss the convergence or otherwise of the given sequence

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)"

A:

Q: The nth term of sequence is determine whether the squence converge or diverges . If it converge find…

A: The nth term of the sequence is determining whether the sequence converges or diverges. If it…

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 5n - 3 9+4 /n an 3…

A:

Q: Write the first five terms of the sequence: +Do |{vn² + 10n – n}, n=1 Determine whether the sequence…

A:

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

A: Given query is to find the general term for the sequence.

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

A:

Q: Determine whether the sequence converges or diverges. If it conve (-3)" 6n! an lim an

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Q: Does the sequence whose nth term () 2 an n converge? If so, find lim,→ an -

A:

Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…

A: The given sequence,   an=1+8n1n

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

A:

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. {n² tan…

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

Q: Write the first five terms of the sequence: {Vn² + 10n Determine whether the sequence converges, and…

A: Given problem:-

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

A: an=n-n2-18n

Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence…

A: given sequence n2+n-n1∞

Q: 32n+1 4. Without finding the limit, determine if the sequence converges or (п+1)! diverges.

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 3n - 9 2 - 7/n an

A:

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {2-(4/n)}…

A: See the details solution in below

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" |1- 1 3 O…

A: we have  an=(-1)n1-3n

Q: 7) Determine whether the sequence (1 - )} 3 4n converges or diverges. If it converges, find the…

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Q: Which of the sequences converge and which diverge? Find the limits of each convergent sequence. 4-6n…

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Q: find the limit of the sequence and find if the sequence converge. Show calculations.

A: Consider the limit 6ne−n

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

A:

Q: Determine if the sequence (nsin(pi/n)) is convergent or divergent. Find its limit if it is…

A:

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A:

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

A: Divergent test: If limn→∞an≠0 then ∑an is divergent.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = 4 +…

A: A sequence converges if it is finite when n is very large (infinite) , Diverges if limit is infinite…