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

A: Given that, an=21n2

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

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

A: To check whether sequence is convergent and divergent.

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

A: Given sequence,

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

A: We have given a sequence; an =(n + 1)!/ n!

Q: Find the limit of the sequence (en if it converges; otherwise indicate it diverges. an = 2 + (1.3)"…

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

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

A: ANSWER

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: Determine whether the sequence converges or diverges. If it converges, find the limit. an = ln(6n2 +…

A: Use logarithmic rules as follows.

Q: 1 + 2n

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

Q: le" + 3n,

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

Q: determine the limit of the sequence or show that the sequence diverges. an = 10n/n!

A: A sequence is convergent if the limit for the sequence exists as n approaches infinity, if no limit…

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

A: To check whether the sequence is convergent or not, first evaluate the lim an. If the limit value is…

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 limit of the sequence or show that the sequence diverges. an = 3n 3 − n/1 − 2n 3

A: The given sequence is: an=3n3-n1-2n3 The limit of this sequence is given by: limn→∞an=limn→∞…

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

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

A: To check whether the given sequence is convergent or not , we first find the limit of the given…

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

A: Given data is : an=lnn72n

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: Find the limit of the following sequence or determine that the sequence diverges. Van? + 7

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

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

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

Q: Determine the convergence or divergence of the sequence with the given nth term an = n/ln n. If the…

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Q: Determine if the sequence is convergent or divergent. If it is convergent, find the limit: an = (1+…

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Q: 2n 1+ n

A: Given limit is , limn→∞{(1+1n)2n} We know that, limn→∞{(1+1n)n}=e

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 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: Determine whether the following sequence is convergent or divergent. Justify your answer. {Vñ -…

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

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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: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state…

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

A: Given sequence,

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges,…

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence…

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

A: Consider the limit 6ne−n

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

A: We will use complementary pair of subsequence to determine the convergence of sequence .

Q: Find the limit of the following sequences or determine that the sequence diverges.

A: Consider the provided expression, e3n+4n Find the limit of the following sequences. Let y=e3n+4n We…

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

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

A: Since you have posted multiple questions. As per guidelines we will solve only first question. If…

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

A: A real number R is said to be the limit of an sequence an if for every positive integer n,…

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

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