Which of the series in Exercises converge, and which diverge? Use any method, and give reasons for your answers. sin²n 17. E: n=1 2Vn + Vn 3 18. E n=1n + Vn 19. E 2" n=1

Q: E-1 cos(nn) e-n Zn=1

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Q: 5n – cos 2n п3 + п2 +1 n=1

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Q: Find out whether the series given below converges or diverges. 1 Σ =1 4Vn + Vn 台

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Q: Determine whether the series converges or diverges. COS n+5 converges O diverges

A: I use limit comparison test

Q: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +…

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Q: Which of the series in Exercises  converge absolutely, whichconverge, and which diverge? Give…

A: 17) Given- ∑n=1∞-1n1n To Check- Whether the above series converges or not.

Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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Q: Which of the series in Exercises  converge absolutely, whichconverge, and which diverge? Give…

A: 21. ∑n=1∞(-1)n1n+3 22. ∑n=1∞(-1)nsin nn2

Q: Express x e* dx as a power series. What is the radius of convergence of this series? For the…

A: First I have written the integrand function in the power series form then integrating them gives the…

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

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Q: se the Ratio Test to determine if each series converges or diverges. 3n+2 ΙΣ Inn 2 n=2

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Q: b) Is the series is convergent n2 + Vn2 + 33n + 10 n=1 or divergent? justify your answers.

A: Limit Comparison Test : Suppose we have two positive term series ∑ an and ∑bn .And suppose that  L=…

Q: Use the root test to determine if the series converges or diverges. Σ Ln=1 (4nU–2)" 1/n

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Q: (2n+1) E cos n%3D1 z=1

A: The given series is ∑n=1∞cos2n+1n. Divergence test: If limn→∞an≠0 then ∑an will diverges. Let…

Q: 2n + 3" 3И + 47 n=1

A: The given series ∑n=1∞2n+3n3n+4n The test used is ratio test . Let ∑n=1∞an be a series . Then…

Q: Determine whether the series converges or diverges tan-1n (a) En=1' (b) En=1° n(1+) (c ) Ση-1 n1.2

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

Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. -1 n( –…

A: Introduction: A series is a description of the act of adding infinitely many numbers, one after the…

Q: Determine whether or not the series of functions { on [-a, a] with a e (0, 1).

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Q: does the series converge or diverge?

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Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. 00 1 n( –…

A: Given: ∑n=1∞-1n(-2)n

Q: а. f(x) = 1– 4x? 4 b. f(x) = 2х + 3 X С. f(x) .2 2х + 1 (2х — 1)" |

A: According to the guidelines, the first 3 questions will be answered.

Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. 1 n3" n=1

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Q: Which of the series in Exercises  converge absolutely, whichconverge, and which diverge? Give…

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Q: Determine whether the series converges or diverges. 8 Σ sin() n=1

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Q: +oo 1 (2n)! ( a) Σ ( c) Σ-1)" 4n2 – 8n + 3 n=1 2" n=1 +00 In n (b) Σ-1)" n2 n=2

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Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

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Q: Use the Integral Test to determine, which statement is correct for the infinite series E n /10. The…

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Q: Does the series converge or diverge?

A: According to p-series test, the series is converges if p>1 and diverges otherwise. Here the…

Q: Cos NT 3 п n=1

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Q: n! 11) E 100 n%=D1 5n 72

A: The given series is: ∑n=1∞  n!5n

Q: Consider the series >(-2)" sin 3n n=1 Is it absolutely convergent, conditionally convergent,…

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Q: Q1: Use series to approximate the value of integral: 1- 2-1

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Q: Express the series in terms of elementary functions and find the where the series converges (1+ a*)…

A: We have,

Q: +∞ 1+ sin² n 10n n=1

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Q: Which of the series converge absolutely, which converge conditionally, and which diverge? Give…

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Q: Vn+ n=1 n+3

A: The given series is  ∑n=1∞1n+! - 1n+3this can be qritten as,∑n=1∞1n+! - ∑n=1∞1n+3   the convergence…

Q: Determine Whether the Series is convergent ordivergn. Write the exact test that you US e, 2n-1 Sin T…

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Q: +00 32n+1 n-1 I n 5"-

A: Please see the explanation below

Q: n E(-1) n n=1

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Q: 00 5n + sin?n + sin²n 3n - |sin n| n=1

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Q: Which of the series converge absolutely, which converge conditionally, and which diverge? Give…

A: Given that : The series ∑n = 1∞ 1n .

Q: 8. En? sin n=1

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Q: Convege or Diverge 1ニ/ (-1)^ J21 ,ニノ

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Q: Test the series for convergence or divergence. -1 sin? n n+ 37

A: Given

Q: Determine if the series converges absolutely, converges, or diverges. Σ (-1)h 6n1/3 + 1 n=1

A: We have to check the convergence of the alternating series.

Q: Determine whether the series converges or diverges.

A: To determine the convergence or divergence of the series.   Given:…

Q: Express the series in terms of elementary functions and find the where the series converges. (1 +…

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Q: Determine whether the series converges, and if so find its sum. 2k+3 g*+1 (Enter DNE if the sum does…

A: Consider the equation

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: If integral value is finite then given series is convergent.