3* Without finding the limit, determine if converges or diverges. (k+5)!]

Q: Prove the limit below exists and find its value to 6 digits but replacing n for a large value and…

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Q: (a) use Theorem 9.5 to show that the sequence with the given nth term converges and (b) use a…

A: Solution:Given      an=7+1n

Q: (2n + 2)! (2n - 1)! 3n + 3n -

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

A: Hair we have to use the L Hopital's rule to find the limit.

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: (4n)! an (4n – 1)!

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

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Q: s such that a, >0 for all n2 1. If is convergent by nth-Term Test is convergent by Limit Comparison…

A: We have to choose the correct answer from the given option according to the given positive terms…

Q: Converges (by the Limit Comparison Test)

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

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Q: 1 B. Find out if b, where b, = n* sin" 2en -Converges or, -Diverges (Show complete solution using…

A: Given the series is bn=n4sinn12en. Determine whether the series is converges or diverges.

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. an=3-n 3 3. Diverges

A: Given: an=3-n

Q: Determine the limit of the sequence an = (2n)^(3/n) or show that the sequence diverges. If it…

A: We have to check the convergence of the sequence  an = (2n)3n.

Q: anz3

A:

Q: 5. Determine whether the infinite sequence converges or diverges. If it converges, find the limit.

A: Find the attachment

Q: ii) Prove that if a sequence XnXn converges to a limit l, then any subsequence of XnXnalso converges…

A: Just use definition of convergence.

Q: k2 k=1 1.

A: Note: " since you posted multiple question. As per our guidelines we are supposed to solve one at a…

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

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Q: 11 Determine whether the sequence ɑn = 21 n' converges or diverges. If it converges, find the limit.…

A: Given:

Q: 3Vn + 13 Determine whether the sequence an converges or diverges. If it converges, find the limit.…

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

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Q: 26. an = 2 +0.86)"

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Q: Does the sequence a, In (n + 1), converge or diverge? If it converges, findits limit. Give reasons…

A: The given sequence is: an=lnn+1n To determine whether the sequence converge or diverge

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

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Q: Does the sequence an converge or diverge?  Find the limit if the sequence is convergent.…

A: Calculus

Q: 10" An n!

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Q: 1 Determine if dr converges or diverges. If convergent, find its vale. 1+ (Inr)

A: ∫0∞1x1+(lnx)2dx

Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

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Q: Determine whether the sequence converges or diverges. If it converges, find its limit. An 2-" cos nT

A: Here, the given sequence is: an=2-ncos(nπ)

Q: {(1+3/n)n} converges or diverges. If it converges then determine it's limit. If not explain

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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: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = 5n -…

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

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin…

A: topic - sequence and series

Q: 14. Divergent or convergent? If convergent, show the limit nsin(n) an n2 + 1

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Q: (-1)-', in a, 3D п? +1

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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"

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

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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: f) {1,0,–1,1,0, –1,1,0,...}

A:

Q: an = 4n-²+2

A: The convergence is proved in two method. One is by direct limit calculation and one is by epsilon…

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

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

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Q: If {an} converges and {bn} diverges, then {an + bn} converges. Is this ture or false. Please show…

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

A: given sequencean=11n2+21n2+...........+n1n2rewrite it asan=1n2(1+2+...........+n)we know sum of n…

Q: - Divergent or convergent? If convergent, show the limit 10" An %3D n!

A: an=10nn!

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

A: