3 converges conditionally because lim n - 3 = 0. 3n + 1 3n + 1 True False

Q: {B"}-o; ß E (-1,0) A-Converges B-Diverges C-Absolutely converges D-Conditionally converges

A: According to our answering guidelines we can answer one question at a time, therefore I have…

Q: If lim an 1 then n00 Σ an n=1 converges O diverges O may or may not converge

A:

Q: An. If > an converges for some large k, then so will n=1 n=k Select one: True False

A:

Q: 1 converges conditionally because lim 第-1 = 0. 2n n=1 True False Reset Selection

A: this is false becuse

Q: n - 3 - 3 converges conditionally because lim = 0. 3n + 1 3n +1 n=1 True False

A:

Q: or converges conditionally: kl 2) Σ- Sk - k + 4 k +1 k=1

A:

Q: 5. Find all values of x >0 so that ) converges. 3k k=2

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Q: Rigorously show that (-1)"-1. n2 +1 is conditionally convergent. n=1

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Q: 4n + 3 Use the limit comparison test to determine whether > an = Σ 20n® + 2 converges or diverges.…

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Q: (-1)" Determine whether E1 converges absolutely, converges conditionally or stify your answer by…

A:

Q: What are all of the values of x ,such that Σ (3x)" (-1)"+ 00 converges? n=1

A: To solve this question we shall use root test for series.

Q: 1 Determine whether (-1)". converges conditionally, absolutely, or not at all. Vn2 + 1 n=0

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Q: (-2)" 9n + 1 n=1 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges

A: * As per our guidelines, we are supposed to answer only one question.   Since you have posted more…

Q: 00 a is converges, then lim a = 00. n=1

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Q: 6. Suppose a, converges. Assume the terms a, are non-zero. Prove ÷ diverges if it is true. n=1 n=1…

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Q: 3)the sequence a) Convergent converge 1. z, nln(l+-)+; = -t is n 2n-1 b) divergent c) absolutely…

A: The given sequence is zn=nln1+1n+n22n-1i.

Q: Determine if >n=1 (-1)" is absolutely convergent or conditionally divergent. 4n 4 +1

A: First check for Absolutely convergence using Series Integral Test

Q: (-1)" converges conditionally. Inn Show that n=2

A: For the solution follow the next step.

Q: ? 4. Show that the sequence {fn}, where nx fn(x) = XER 1+n²x²⁹ is point-wise convergent but is not…

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Q: Σ (-1)*2* Use the Ratio Test to determine whether converges absolutely diverges. or k! k=1

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Q: +o0 ΣΗ 1 -3 -1-n n=1

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Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: x" converges absolutely for all x Select one: True False

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 3. Determine whether E (-1)" converges absolutely, conditionally or diverges. Explain.

A:

Q: Determine whether k- 3k+2 22k+1 converges or diverges. k=2

A: Given that: ∑k=2∞k.3k+222k+1   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: 3.2.6 Theorem If X (x) then a < lim(x) b. is a convergent sequence and if a S X5bfor all n e N,

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Given that: ∑n=1∞enn!

Q: (-4)"n 2) Determine if £∞ n=1 Absolutely converges, converges conditionally, or diverges.

A: Ratio Test: Let∑an be a series and L=limn→∞an+1anif L&lt;1 the series is absolutely convergent…

Q: If E an converges, then an/n12 converges. n=1 n=1 O True False

A: True, using Abel's test.

Q: 1.1 Determine whether the sequence {f.(x)} = {; on I = [0, 1]. converges uniformly %3D

A:

Q: Prove that ∑^infinity_(n=1) ((-1)^n/n) converges.

A: Apply Ditichlet theorem.

Q: n = 1 Vn lim n-00 converges O diverges

A:

Q: 00 If 2a is converges , then lim a = ∞ %3D n=1 n- 00 صواب İhi

A: We have to check whether given statement is true or false.

Q: (2n)! Σ n2n converges n = 1 Select one: True False

A:

Q: Determine whether ∞∑n=1√n / 2n2+n+5 is convergent.

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Q: If > an converges, then a converges. n=1 n=1

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Q: 1 1 = 0. Vn – 1+ /n converges because lim Vn – 1+ n n=1 True False

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Series that diverge absolutely may conditionally converge O True O False

A: Ans is   True.

Q: If lim,→00 an 0 then an converges. Select one: O True False

A:

Q: an If a, + 0 for all n > 1 and lim |-" | , n→00 an+1 an n=1 converges. True False

A: We have to tell that given conditions are true or false.

Q: IV. Determine if the given is convergent or divergent. s In"(n*) 23n2 #4. n=1

A: Given series is ∑n=1∞lnn(n4)23n2

Q: converges, because lim n! 2(n+1) n! = 0. (n + 1)! 2* n+00 True False Reset Selection

A: The given statement is true. Use the ratio test to find the evaluate the nth term.…

Q: n· 3n 5n n=

A:

Q: 6. If > an converges but >lan] diverges then we can be sure that n=1 n=1 (a) an converges…

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Q: an converges for some large k, then so will n=1 an- If E n=k

A: We have to check

Q: N + 1 2N 2) Show that converges/diverges. N-1

A: The given series is: ∑N=1∞N+12N+1 Let. aN=N+12N+1,N≥1

Q: п — 1 п — 1 2( 1)" " converges conditionally because lim 2" 0. 27 n00 n=1

A:

Q: (-1y" In n 1) Determine if £∞ n=1 Absolutely converges, converges conditionally, or diverges.

A: