18(3")+ 18 12(5") lim

Q: EXAMPLE 8, Does the sequence whose nth term is n п + An n 1 - converge? If so, find lim,»oan.

A:

Q: Determine whether the following sequence is convergent or divergent. Justify your answer {Vn- Vn+1}

A: We need to determine that sequence n-n+1 is convergent or not.

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: determine the limit of the sequence or show that the sequence diverges. an = 21/n2

A: Given that, an=21n2

Q: every convergent cauchy Show that Sequence is but the converse is not true general. in

A: Let, be the convergent sequence which converges to . Since, then, for the given ,

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

A: A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is…

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

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

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

A: The given sequence is divergent.

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: The greatest lower bound for the sequence {0.1,0.01,0.001, 0.0001, ...} is

A:

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

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

A: Solution: The objective is to determine whether the given series is convergent or not

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity

Q: Is the sequence {n/(n2+1)} convergent? If so, what is the limit?

A:

Q: Suppose that the sequence {an} is monotone and that it has a convergent subsequence. Show that {an}…

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

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Q: Give an example of a nonincreasing sequence with a limit.

A: The nonincreasing sequence is a sequence {An} of the real numbers that never increases that is An+1…

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

A:

Q: Does this mean the sequence is always convergent?

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

Q: 1 lim n→∞ n² 0 =

A:

Q: 5* Determine whether the sequence defined by a* %3D 8* +1 converges or diverges. If it converges,…

A:

Q: Determine if the sequence an = n sin(π/n) is convergent or divergent. If converges, find the value.

A: We will check the value of an as n approaches ∞

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

A: Given: an=n-2!n! for this first we simplify nth term of given sequence, then find sum till infinite…

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

A: Calculating the values of limits,

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

A:

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

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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 if the sequence is convergent or divergent. If convergent find the limit  an=3(1+2/n)n

A: The nth term of the sequence is    an =  3(1 + 2/n)×n   =  3n + 6    Thus, sequence is  { 6, 9, 12,…

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

A:

Q: ´In (1/n)l

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Q: determine whether the sequence converges or diverges.if it converged find its limit.…

A:

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

A:

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

A:

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: 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: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

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

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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: Determine whether the real sequence of convergent or divergent sequence. n+3 converges by using the…

A: This is a problem of sequence.

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.…

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

A:

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: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A: First we draw the graph of an  and if the graph converges to a number k then the sequence an…

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

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.