The alternating series test can be used to check for convergence for which of the following series? 1. E(-1)"+1, n²+100 n=1 II. E(-1)"+1 _n+3 100n+3 n=1 if n is odd II. E(-1)***an, where a, n=1 if n is even A None B I only c) I and II only D I, II, and III -|s -

Q: 2. Which of the following series converge and which diverge? Explain your answers. (When checking an…

A: As per the company guidelines we are supposed to solve first 3 subparts of your question. Kindly…

Q: 00 с 1. Š (1)"(nº +1) en n=1

A: As per our norms .we have to answer. One question at a time.. kindly repost remaining questions

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…

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A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  so it can be…

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Q: and identify the values of the interval for which the convergence is absolute or conditional. n? 00…

A: We will first find the radius of convergence and then interval of convergence

Q: Determine the convergence or divergence of the series with justification. If the series converges,…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

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: Which of the followings are divergent series? I. In2 + In4 In3 In5 + In6 In7 II. E1(-1)" 11 1. Σ…

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Q: a. x" ¡(n − 1)! 87

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: (a) None of these 4n (b) Σ n! n=0 8 * (c) n! n=1 (4) S n=1 (e) All of these n!

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

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Q: 4" + n2 4" Σ 5" + n n=1 n! I. 3" n=1 t one: a. I and III b. I and II

A: We have to choose the correct answer from the given option according to the given positive terms…

Q: Which of the following series converge? 2" + n1 I. 4" + n² n=1 4" II. ) 5n +n Tn=D1 n! III. 3n…

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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: Test for convergence the following series a(a + 1) a + a(a + 1)(a + 2) + .. 1.2 1.2.3

A: For the convergence test, first, we have to find nth term (an) of the series…

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: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: Decide whether the given series are convergent or divergent. Show all your steps. (-4)3n a) 2n+1 n=1

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