(a) Show that )(-1)*+"n-1/3 converges conditionally. Name the test (s) you use as well as show all n=1 the key details of applying the test(s).

Q: | converges to p What can you say about the convergence of the giver (Enter 'inf for o.)

A: We have to choose the correct answer from the given options according to the given information

Q: What are all of the values of x ,such that converges? n=1 1>0,1 0 13 X<1 4

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Q: Find all real numbers k so that the series (n – 3)* + (n – 3) (n³ – n³ – 1)'/3 n=4 converges.

A: Explanation of the answer is as follows

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

A: this is false becuse

Q: 2. Show that the series is conditionally convergent: n (-1)"-1 n² – 1 n=2

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Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

A: Given is a series ∑n=1∞n2n+1n To check if the given series is convergent or divergent Ratio test:…

Q: The series True False 80 n=1 (-1) n is conditionally convergent.

A: The given series is ∑n=1∞-1nn. The objective is to check whether the given series is conditionally…

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

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Q: Find all numbers x such that the series n=1 converges!

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Q: Discuss the Convergence a 2 e¹ M8 n=1 SH n

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

A: The ratio test states that: if L &lt; 1 then the series converges absolutely; if L &gt; 1 then the…

Q: The series > (2)k-1 converges. k=1 Select one: True O False

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Q: 3x is convergent is 3D1 29. The set of real values of x for which the series 1 2+x)

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: k$ – 4 13. Use the Limit Comparison Test to determine whether the series k° +7 converges or…

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Q: 4 n"+ 1 then Converges 9) Dinerges Test Fails None of these

A: a) converges

Q: n² +2 4. Use a comparison test to determine if the series converges or diverges. n=1

A: Follow the steps.

Q: Does the series 3 n2 – 6 n=3 converge?

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Q: evaluate. Does the series ∞[4 2^k(x-3)^k/2k converge absolutely, converge conditionally or diverge?…

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Q: Test of convergences of the following: e" +4n n=0

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Q: Determine whether the given converges or diverges. n 2n +1 n=1

A: We can solve this as follows:

Q: Determine whether the sequence {2n+3 / 5n−7} converges or diverges.

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

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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: n2 + 5n + 2 Determine whether converges abso- (1+ )" lutely, converges conditionally, or diverges.…

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Q: Converges conditionally

A: According to the question, we have to define the term 'Converge conditionally'. The term Converge…

Q: 22n Σ n! n=1

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Q: 8. 3. Use two different methods to show that the series 1 converges. 1+ n2 n=1

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Q: Determine whether the sequence converges or diverges 1+(-1)" а. An n2 b. an =(1 -3zn) 3n.

A: For the solution of the problem follow the next steps.

Q: 00 n 2 Does the seriesE (- 1)"n²| | converge absolutely, converge conditionally, or diverge? 3 n= 1…

A: Consider the series ∑n=1∞−1nn223n We have to check whether the given series is converges absolutely,…

Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: Σ n = 1 n" converges Select one: True False

A: To find whether system converge is true or false.

Q: – 2n2 1+n² 2n²

A: Sequence is convergent.

Q: 9. Use the definition of convergence to prove that the sequence converges. b) {2n/(3n + 2)} c)…

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Q: 12. E-3 2n-5 Using the Direct Comparison Test show if the series is divergent of convergent

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Q: (4) Does the series (1+45 converge absolutely, converge conditionally, or does it diverge?. (6]

A: As per the company rule, we are supposed to solve one problem from a multiple problem set. Therefore…

Q: M Z(1-nsin-) converges n = 1 Select one: O True False

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Q: a) Use the divergence test to determine whether converges or not. (-1)**'n n(3n² +1) b) Use…

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Q: What are all of the values of x ,such that (-1)" -". 00 converges? n=1 x120 x0.4 0

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Q: The power series n=1 0-1≤ x < 5 01≤x≤5 0-1 < x < 5 0-1≤x≤5 (x - 2)" 3n converges if

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Q: Determine whether the sequence convergent or divergent. 3. n =1 n+3 a. diverges b. converges

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Q: 1 N-1 Show that the series N converges/diverges

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Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: 7" (f) í(-8)*- n=1 Converges or Diverges: Sum(If Converges):

A: As this is a multiple question, according to the Bartleby answering rule, only first question is to…

Q: Does (-1)r+1 In n (-1)n+1 lnn converge or diverge? n=1

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Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

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

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Q: 2n + 5 Jse the definition of sequence convergence to prove this sequence converges: 6n 3

A: Concept: