Which of the following series is/are absolutely convergent? 1 1. Σ n=2 ninn 1 2. Z n=2 In(n!) 1 3. E n=2 (Inn)" Select one: a. Non b. 3 only c. 2 and 3 only

Q: Which of the following p-series is convergent: Σ n=1 3. 2. 2. n=1 n=1 Σ n=1 9.

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Q: Which of the following is the interval of convergence of the series 00 O a. [-1/2,1/2] O b. [-1,1]…

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Q: Which of the following p-series is convergent: 1 Σ 00 n=1 5 n=1 n n=1 5 1 n=1 15 n

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Q: 2.Determine the convergence of the following series n+3 а. Ln=1 2n-1, b. E=1) 2n+1

A: Given:

Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: (2n)! Σ 5nn!n!

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Q: 3) Determines whether the following series are absolute convergent, conditionally convergent or…

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Q: Which of the following series converge? 1 (1) E e n= 100 n 100 (II) (1) Σ 0.99999 n=1 n - 1.00001…

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Q: 3. Determine whether the following series converges, and if SO, find its sum. (») 1 22n71- ה םתו (n…

A: a.) ∑n=1∞22n71-n+1(n+1)(n+2) ∑n=1∞22n71-n+1(n+1)(n+2)=∑n=1∞22n71-n+∑n=1∞1(n+1)(n+2) b.)…

Q: 5. Determine whether each of the following series is convergent or divergent. Show all work and…

A: (a) The series is  ∑n=1∞ 2n5n+3

Q: 1. Determine if the following series converges or diverges? (etn) 4 (n- 2)! n=3

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Q: 2. Determine whether the following series are convergent or divergent. 00 3 а. n +1 n=1 (-1)" b. Vn…

A: A test of convergence for a series of form ∑n=1∞(-1)ndn where dn≥0 for all n; then the series…

Q: Determine whether the following series converges or diverges. Show all necessary steps. 1 3 4 ek…

A: You have asked a question with multiple sub parts. I have addressed the first four of them. Please…

Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: Which of the following is a convergent series? 1 n=1 1 nyInn n=2 00 2" n3 n= 00 n" n! n=1

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Q: Determine whether the following series converges or diverges. ΣΗ 9 + 7" n=1

A: Determine series convergent or divergent.

Q: The following series is convergent: 5n+1 (-3)" Select one: O True Falso

A: I have Provided this answer in step-2.

Q: Σ=1 (−4+1)" 3"Vn+1 2

A: The given problem is to show the given series is absolutely convergent. We can check it by using…

Q: Determine whether the following series converges. 00 (-1*1 Ink k=1

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Q: Which of the following series converge? II. En=2 in n 3n III. En=1 n2+3 3 2 I. E1, =13- A) I only.…

A: 1. ∑n=1∞23+1n+1 ∑n=1∞2n3n+1 By Comparison test, this series is divergent.   2. ∑n=2∞3ln n2 ∑n=2∞32…

Q: Which of the following series converge, and which one diverge?( 2n+1 3- En=1 n2n+1 3-1-1 1- 2- 2n=1…

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Q: Which of the following series is(are) convergent? 8. (I) ) n31 1 + 46 n32 n=1 n- 11 (II) n 9n n=1 n3…

A: To test which of the given series converges or diverges.

Q: 1. Determine whether the following series are convergent or divergent, and fully justify your an-…

A: a) ∑n=1∞ 5n2-lnn+12n10+2n3+3-nUse ratio testIf limn→∞an+1an <1  then  ∑n=1∞an converges.If…

Q: e 2n Zn=1 nn

A: Note: There are many subparts in the question. So I will answer first subpart of the given question.…

Q: nn+1 TU En=1 6n in=:

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Q: Which of the following series converges and which diverges? 3 A) E Ans. Diverges (p-series) n=1 Β, Σ…

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Q: 2. The following series is convergent 2n 1) É-1)" 3n+1 II) Ž(–1) : Зд+1 c) II only a) I and III d)…

A: Explanation of the answer is as follows

Q: Which of the following series converges and which diverges? A) Š Vn n=2 Inn Ans. Diverges ( n"-term…

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Q: Determine whether the following series converge or diverge using the properties.

A: If the series is geometric, one have to check the common ratio If absolute value of common ratio is…

Q: Determine if the following series converges or diverges (-1)"-1 En=1 7+2n

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Q: Which of the following series is convergent? Select one: 72 5n A. 2n + 3 n=1 3n ов. 2n + 5 n=1 72 2n…

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Q: Determine if the following series converges or diverges Σ 31-2n n=1 _n²+1

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Q: Which of the following series is convergent? Select one: 2n O A. (n+ 1) n=1 В. 3n B. E 2n + 5 n=1 Σ…

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Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: Determine whether the following series converges. 5( − 1)k + 1 k=1 k5

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Q: Determine whether the following series is absolutely convergent or divergent. n n2 + 1 (-1)" 2n2 n=1

A: So by cauchy root test it is absolutely convergent.

Q: Determine whether the following series are convergent or divergent. 1. E-1(")", for any a. n%=D1…

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Q: Which of the following series is/are absolutely convergent? 1 1. Z n=2 ninn 1 2. E n=2 In(n!) 1 3. 2…

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Q: 00 (3z–4)* 4" n=0

A: Let us consider a power series  ∑n=0∞an(x-a)n . Determine L=limn→∞an+1(x-a)n+1an(x-a)n Then the…

Q: Which of the following series is conditionally convergent? Select one: n+1 Ob. 2n + 3 On +1 2n + 2…

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Q: の n! а) Σ 10n n=1 e

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Q: Which one of the following series is absolutely convergent? 4 E(-1)". n=1 n+ 5 00 6. E(-1)"-1 Vn +4…

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Q: Which of the following series is/are absolutely convergent? 1 1. Σ n = 2 ninn 1 2. 2 n =2 In(n!) 1…

A: Cauchy condensation test, comparison test and ratio test are used for checking if the infinite…

Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

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Q: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: Which one of the following series is absolutely convergent? 00 4 2(-1)". n=1 n+ 5 2(-1)" Jn +4 n=1…

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Q: . Which of the following series are convergent, but not absolutely conve: (-1)" 1) 2(-1)* n+2 3) 4.…

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Q: a) Show that the following series converges conditionally. n2 E(-1)"+1, n° +2

A: Since you have asked multiple questions, as per our guidelines we are solving the first one for you.…

Q: :One of the following series is convergent اخترأحد الخیارات (-1)k + 3 .a O 2k k=1 E(2)* .b O k=1…

A: We have to check