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 5n C. 2n + 3 n=1 Σ 4n O D. 6n + n=1 E. None of them.

Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

Q: 6. Which one is the Maclaurin series of the function e³x² ? (b) (c) (d) (e) iM8 iM8 iM8 M8 M8 Σ n=0…

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Q: Find the sum of the convergent series.

A: The given question is taken from the sequence and series in which we have to find the value of the…

Q: Which one of the following series is divergent? 1 (A) 1 5n +n+7 (B) n3 + Vn n=1 n=2 5 (C) 5h (D) 9n…

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Q: 10. Determine whether the given series converges or diverges. If it converges, find its sum. -2 n=0…

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Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A: "Since you posted multiple questions, we will provide the solution only to the first 3 subparts of…

Q: which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c.…

A: As per the question, we need to find one series which is not convergent. Let us start from option…

Q: Consider the two series: 00 2n + 3 (a) n2 In n 00 1+ (n – 1)! (b) > n! n=1 Which of the following…

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Q: Which one of the following series is absolutely convergent? 2(-1)" n2+5 n n=1 00 3 2(-1)"- n=1 n+4…

A: Here all alternating series are given  We just check only series which is convergent    By…

Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

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Q: Which of the following is a convergent series? O 00 1 L nyn O 00 1. n2 nvlnn O n"

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Which of the following is a power series about x 0? O Vx + v2x + V3x + v4x +... O 1 2 3. 4 +... x2…

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Q: Find the interval of convergence for the given power series. ∞ n²(x + 2)" (2¹) (n³) n=1 The series…

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Q: Select all the series that are absolutely convergent.

A: We have to find out the absolutely convergent series.

Q: Which of the following conditions are necessary to conclude that the series an converges using the…

A: Solution:- The condition that are necessary to conclude  that the series ∑n=1∞  an  converges…

Q: Which of the following series is convergent? Select one: 2n А. n-1 00 4n-1 В. 6n n-1 O C. None of…

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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: Which of the following is true? O A p-series is divergent if p > 1. none The series E(-1)" -1, 2 is…

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Q: Determine if the given series is convergent or divergent. (1 – 2n²)" n2n 8. 3" 1. 2. en n=1 2n n=1

A: According to our guideline we can answer only one question and rest can be reposted.

Q: Which of the following is a divergent geometric series?

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Q: If the nth partial sum of a series an is n = 1 find an a1 and an n = 1 an Sn Σan n = 1 = = n - 3 n +…

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