Does the sequence converge or diverge

Q: Determine whether the sequence is convergent or divergent.

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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: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to…

Q: Determine whether the sequence converges or diverges. an = (1 + 2j• п

A: To check whether sequence is convergent and divergent.

Q: Prove or Disprove: Every oscillating sequence diverges.

A: To investigate the convergence (or divergence) of an oscillating sequence.

Q: The sequence with general term an = (-1)" is divergent. True False

A: The given sequence is divergent.

Q: determine the limit of the sequence or show that the sequence diverges.

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Q: Determine if the sequence 1+ 3n is convergent or divergent.

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Q: Determine whether the sequence is convergent or diver- gent. If it is convergent, find its limit. 2…

A: Given :  The sequence an = 2 + n31 + 2n3   To determine the sequence is convergent or divergent.

Q: , Find the limit of this sequence, or else prove that the sequence diverges: (1- 3 In n an =

A: ANSWER

Q: Does the sequence {n2 / 2n} converge or diverge?

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Q: 1 + 2n

A: Given query is to find the limit of the sequence.

Q: Which of the sequences whose nth terms appear converge, and which diverge? Find the limit of each…

A: We find the limit of the an th term. limx→∞(an)=limx→∞1+(-1)nn=1+limx→∞(-1)nn=1+0=1

Q: A monotone sequence is convergent.

A: 1) If f is continuous on A then fn is also continuous  on A So The statement is true

Q: Does the sequence whose nt" term is an converge? If so, find lim an. n-00

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Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Determine whether the sequence {(3" + 5")/"} is convergent or not.

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Q: Which of the sequences {an} converge, andwhich diverge? Find the limit of each convergent sequence.…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 9n

A: Obtain the limit of the given sequence to investigate whether the sequence converges or…

Q: Determine whether the sequence {√n+2−√n+1} converges or diverges.

A: To check for the convergence of the given sequence, we find the following limit: To calculate the…

Q: Every bounded sequence converges. True or False?

A: False

Q: Is the sequence divergent or convergent? If it’s convergent, evaluate

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

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Q: A sequence that does not have any convergent subsequence

A: We find a sequence that does not have any convergent subsequence.

Q: Check the Convergence of the following Sequence.

A: According to guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: Show that a convergent sequence is bounded both up and down.

A: Show that a convergent sequence is bounded both up and down.

Q: Is the sequence divergent or convergent? {vn - vn+1}

A: n  - n+1 =(n  - n+1) (n  +n+1 )/(n  + n+1) n  - n+1  = (n - n - 1)/(n  + n+1)  n  - n+1  =  - 1/(n…

Q: Find the limit of the sequence or determine that the sequence diverges

A: we have to solve

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

Q: Every convergent sequence is bounded. T or F?

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Q: Does the sequence{an}converge or diverge? If it converges, what does it converge to?If it diverges,…

A: Given, an=nln(n)

Q: Determine which of the sequence coverage or diverge?

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Q: Is the sequence an=n3/3n-1 convergent or divergent? explain.

A: The given sequence is: A sequence an is said to be convergent if, where "l" is a finite number.…

Q: Which of the sequences {an} converge, andwhich diverge? Find the limit of each convergent sequence.…

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Q: Find if sequence converges or diverges

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Q: determine if the sequence converges or diverges 8,108,208,308,408,…

A: Given:- 8,108,208,308,408...... To find:- Determine given sequence divergent or convergent

Q: The sequence (c} diverges.

A: To check whether the sequence diverges

Q: Find a convergent subsequence of the sequence {(-1)" (1 – 4)}, -

A: We need to find a convergent subsequence of {(-1)n(1-1n)}n=1∞.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. n!

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Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

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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: How can you know if a sequence diverges or converges?

A: Answer :  We can know that a sequence is  diverges or converges ,  We have to remember that of a…

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:

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.