(-2)" 9n + 1 n=1 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges

Q: {B"}-o; ß E (-1,0) A-Converges B-Diverges C-Absolutely converges D-Conditionally converges

A: According to our answering guidelines we can answer one question at a time, therefore I have…

Q: 2n2 +n+2 ii. Use the result in (i) to test for convergence = 1 5n3 + 3n

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Q: 2. Find the interval of convergence of the series (n + 2)(x + 3)²n+2 2n

A: Here an=n+2x+32n+22n. The series converges if limn→∞an+1an<1

Q: - Find the interval of convergent for : 2n 2 2n! n=0

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Q: 5) The interval of convergence is: a) (-2,2] b) (-2,2) ed to show that c) (-2,2) d) [-2,2] ()…

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Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution.

Q: 3 + 5n2 23. ая n+ n²

A: Basic series test

Q: 4n + 3 Use the limit comparison test to determine whether > an = Σ 20n® + 2 converges or diverges.…

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Q: 3 and Xn %3D 4-Xn-1 converges. %3D Prove that the sequence defined by x|

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Q: Find all numbers x such that the series n=1 converges!

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Q: (-1)" Determine whether E1 converges absolutely, converges conditionally or stify your answer by…

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Q: a) {(3N +17))(2N)} 10. Prove that the sequence {(-1)"} does not converge.

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Q: 1 Determine whether (-1)". converges conditionally, absolutely, or not at all. Vn2 + 1 n=0

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Q: 2. Σ- n3D0 (n+1)4 If the series converges, use the Integral Test can be used to show convergence

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Q: 2. Find the interval of convergence for the series. n=1 (x - 7) n n5n

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Q: (-1)* Lk=3 In k absolutely convergent, conditionally convergent, or divergent? 100

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Q: k$ – 4 13. Use the Limit Comparison Test to determine whether the series k° +7 converges or…

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Q: 1 Is (-1)"- conditionally convergent, absolutely convergent, or n In n divergent?

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Q: (-1)" converges conditionally. Inn Show that n=2

A: For the solution follow the next step.

Q: 8. Suppose theory indicates that the sequence (Pn) converges to p of order 1.5. Explain how you…

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Q: Petermine whether (-1)k converges absolutely, converges conditionally, kl/2 k=1 diverges. or

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Q: The series 2=1 1 k is divergent no conclusion absolutely convergent conditionally convergent

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Q: 3. Determine whether E (-1)" converges absolutely, conditionally or diverges. Explain.

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: (-4)"n 2) Determine if £∞ n=1 Absolutely converges, converges conditionally, or diverges.

A: Ratio Test: Let∑an be a series and L=limn→∞an+1anif L<1 the series is absolutely convergent…

Q: 34. Assume that an+1/an converges to p = 4. -1 Does > an converge (assume that n=1 An # 0 for all…

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Q: (-1)k Lk=0 Vk+1

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Q: 15.) Suppose that a (x-2) converges when x=-3, then what is the smallest possible interval of k=0…

A: The answer is :

Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: Σ n = 1 n" converges Select one: True False

A: To find whether system converge is true or false.

Q: Does the series k=1 1 √k6 + 5 converges absolutely diverges converges conditionally converge…

A: Given series∑k=1∞1k6+54. The p test for convergence is The series ∑n=1∞1np converges if p>1 and…

Q: The series 2(- 1)"+1 converges n = 1 Select one: True

A: The given series is ∑n=1∞-1n+1

Q: 8. n2- 1 n = 2 convergent divergent If it is convergent, find its sum. (If the c

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Q: M Z(1-nsin-) converges n = 1 Select one: O True False

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Q: an conditionally converges then Jan] converges. n=1 n=1 True OFalse Rationale: Reset Selection

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 2n2 +n+2 Σ ii. Use the result in (i) to test for convergence = 1 5n3 + 3n

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Q: Series that diverge absolutely may conditionally converge O True O False

A: Ans is   True.

Q: (1) Show that n2 +1 n=1 converges conditionally. Show that all conditions of the test used are…

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Q: What are all of the values of x ,such that (-1)" -". 00 converges? n=1 x120 x0.4 0

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Q: Inx? x² –1, 2 x=2 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges 8.

A: In both cases we use comparison test.

Q: 7n+2 5. By using Ratio Test, determine whether > converges or diverges. (n + 1)! n=1

A: The answer is found in step-2

Q: 5) Does vergent? (-1)"n Ln=1 \n³+2 converge absolutely, converge conditionally, or di-

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Q: N + 1 2N 2) Show that converges/diverges. N-1

A: The given series is: ∑N=1∞N+12N+1 Let. aN=N+12N+1,N≥1

Q: 7" (f) í(-8)*- n=1 Converges or Diverges: Sum(If Converges):

A: As this is a multiple question, according to the Bartleby answering rule, only first question is to…

Q: Does (-1)r+1 In n (-1)n+1 lnn converge or diverge? n=1

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Q: 3k 5- 2k+1 k=1 2 1. Does converge? If so, what does it converge to? If not, justify.

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Q: (-1y" In n 1) Determine if £∞ n=1 Absolutely converges, converges conditionally, or diverges.

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Q: The sequence fn(x) = is 72 Select one: a. diverges Ob. converges uniformly but not pointwise C.…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.