13) E n=1 n!

Q: 1 Does the series ) converge absolutely, converge conditionally or diverge? kº + 7 k=1 diverges…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the radius of convergence, R, of the ser 4 9 14 (5n - 1) R = Find the interval, 1, of…

A:

Q: IT Suppose that a, 3 10, а, 3D9, аз —8 a2 = 9, az =8 and that Σ. an= 2021. %3D n=1 Determine the…

A: We have to find

Q: n! 1=1 n%3D1 6TH un

A:

Q: 3" +2 Inn n-2 %3D2

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 1 2n=2: Ln=2 nlnn

A:

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A: Given :∑n=1∞8nn+8To determine convergence or divergence of the given series

Q: Determine if the following series converges. Explain your reasoning. sin(k) k2 k=1 8WI

A: Calculating the limit of the series as k tends to infinity.

Q: 2n +1 Σ n n tan-1 n n=1

A:

Q: Determine whether each series is convergent or divergent. Be sure to state any test that you use and…

A: The given series is: ∑n=1∞n+3n4-n3+2n   Using Limit Comparison Test: Let…

Q: 20) ΣΚ 20) E, -3n° +1 n%=D1 n+2n+1

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Q: 2(-1)". п — 1 n n=2

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Q: Determine if the series converges or diverges using the ratio test. Show/explain your work.

A: Explanation of the answer is as follows

Q: (-1)"-п го Zn=1 п2+2

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Q: 7) En=1

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Q: nth digit of series

A: Given that an is the nth digit in the decimal expression of ½.

Q: (Inn)* 2 3 n° n=1

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

Q: (-1)* n' -1 3

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Q: 00 3" n iM³

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Q: 23 4-n+1

A: Given : ∑n=0∞3n4-n+1

Q: determine whether following of the series converges or not

A: Given a series. We need to determine whether the series converges or not.

Q: Determine whether each series is convergent or divergent. Be sure to state any test that you use and…

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Q: n=1

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Q: Determine whether the series is convergent or divergent. If it is convergent, evaluate its sum. If…

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Q: Determine if the series converges or diverges using the ratio test. Show/explain your work.

A:

Q: 25) Σ 5" (2n-1)! Ln=2 n-(2n+1)!

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Q: Determine if the following series converges absolutely, converges, or diverges.  Explain your…

A: As per our guidelines I am solving only 1st for others kindly resubmit the question mentioning that…

Q: Use the root test to determine if the following series converges or diverges. 00 11 Σ (2 + (1 /n))ªn…

A: According to the root test, a series ∑n=1∞an converges if the limit L=limn→∞ann is less than 1.

Q: Use the root test to determine if the following series converges or diverges. 00 Σ n=1 (2+ (1/n))³n…

A: To find : The series is divergent or convergent .

Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its…

A: Use the ratio test for checking the convergence of series.

Q: 11) E1 COs ()

A: As per bartleby guidelines we only give first question answers.

Q: 23) ΣΡ 1+n n%3D1 24) Σ1 sin () 25) E, 5" (2n-1)! m%32 n-(2n+1)! n%=D1

A: p-series converges when p > 1 and diverges when p < 1.

Q: 24) Σ sin (1) En=1

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

Q: (1-(-1)" explain why you think the series En=1 converges to a finite number or diverges. If n+1 e…

A: According to Bartleby guidelines I can attempt only 1 question

Q: Determine whether each series converges or diverges (give a reason). If the series converges and is…

A:

Q: Determine if the series converges or diverges and select an appropriate test. (Only select one test…

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Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: State whether the given p-series converges

A:

Q: 8. (sin 100)" n=1

A: The given series is, ∑ n=1∞(sin 100)n

Q: 17) E ()" n! (2η )! n=D1

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

Q: 2n²(-1)" En=1 3n2+4n+1

A: given series is                                                         ∑n=1∞2n2(-1)n3n2+4n+1…

Q: Determine if the series converges or diverges and select an appropriate test. (Only select one test…

A:

Q: Determine if each series converges or diverges. Give a reason. 3 2)

A: We need to check whether series is convergent or divergent

Q: Determine whether the series (n!)2 (2n)! n=1 is absolutely convergent, conditionally convergent, or…

A: We have,

Q: 6 Σ. n+sin(n 100 m=1 n2+100,000

A: note  series ∑n=11np is convergent if and only if p>1

Q: n! b. n=1 23n Converges absolutely or Converges conditionally or Diverges (circle one) Test used:

A:

Q: 1 1+(3 2) n n=1 3D1 2/3

A: For an infinite series ∑k=1∞uk, if limk→∞uk≠0 or limk→∞uk does not exist, then the infinite series…

Q: Determine whether the series converges absolutely, converges conditionally or diverges. Identify all…

A:

Q: Prove whether the pollowing series converges and state which theorem diverges. to prove. or you use…

A: Convergence of the series

Q: Determine if the series converges or diverges and select an appropriate test. (Only select one test…

A: