Determine the limit of the sequence or show that the sequence diverges. If it converges, find its limit. n + 2 = In 'n - 7 n + 2 In n² - 7 n + 2 Since . Therefore, the sequence ---Select--- v n - 7

Q: 1. Given the sequence defined by 1 3- An а1 — 1, ап+1 - - Explain why the sequence converges. Then…

A: We have to explain the given sequence a1=1, an+1=3-1an converges. Also, find the limit of the…

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: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

A:

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: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 7 an = sin…

A:

Q: A sequence is defined by tn = tn-1 +2", and t1 = 1. Determine the fourth term in this sequence.

A:

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

A:

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

A:

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

A: Given:

Q: In the given equation as follows, determine the convergence or divergence of the sequence with the…

A: given,        an=-13n

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

A:

Q: Choose the true statements about a convergent series.

A:

Q: anz3

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 divergence. an in 1 0. 7.…

A: an=7n.nn

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

A: we have to check sequence is convergent or divergent.

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

A:

Q: A sequence is defined by tn = tn-1+2", and t1 = 1. Determine the fourth term in this sequence.

A:

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

A: Let's find.

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

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.…

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

A:

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {((-1)^n)/2n}

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 8+ (-1)h an %3D

A:

Q: 6n Determine if the sequence an 4(-1) converges or diverges. If it converges, compute its limit. If…

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

A: To determine the provided nth-term of the sequence an=(n-2)!/n! is convergent or divergent and also…

Q: 7. Determine whether the sequence, n 1+4n² 1+n² > converges or diverges. If it converges, find its…

A:

Q: 13. If x1 := 2 and x+1 = 2+1/x, for n 2 1, show that (x,) is a contractive sequence. What is its…

A: Given x1 = 2 xn+1 = 2 + (1/xn) We need to show that (xn) is a contractive sequence and we need to…

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

A:

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

A: Given: The sequence with the nth term, an=n sin1n.

Q: 4. Determine if the sequence (sin²n+ 2n converges or diverges. Find the limit if it converges.

A: we have to identify the given sequence is convergent or divergent if convergent then find it's limit

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

A:

Q: Determine the convergence or divergence of the sequence (not series!) with the given nth term. If…

A: Check the convergence of the sequence with nth term an=ln n2n.

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: Find the limit of the sequence: (;), ÷ (; + -), ; (; + +), E (E )..

A: We have 1112, 1223+24, 1334+35+36, 1445+46+47+48, ... We need to find the limit of this sequence.…

Q: 3. Determine whether the sequence an = limit. x + 3 In x converges or diverges. If it converges,…

A:

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

A: an=n-n2-18n

Q: sin? a = 2"

A:

Q: 7,11 Write out the first five terms of the sequence, determine whether the sequence converges, and…

A:

Q: converges

A:

Q: Write the first five terms of the sequence: {Vn² + 7n – n} +00 Determine whether the sequence…

A: Given: ∑n=0∞n2+7n-n

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

A:

Q: 4. Determine if the sequence is bounded and if it is monotonic. Determine if the sequence converges…

A: This question is related to sequence and series.

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

A: Consider the limit 6ne−n

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

A:

Q: The sequence (a,) = 2 converges to -2.

A: Let (an) be a sequence. If limn→∞an = L, where L is finite Then the sequence converges, otherwise it…