5(-7)" n2 n=1 A-Converges B-Diverges C-Absolutely converges D-Conditionally converges C 8.

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: nx (a): Show that the sequences is not uniformly convergent [0, 00]. on '1-n²x2

A: Given the sequence of function fnx=nx1-n2x2, x∈[0,∞) Now , for x=0, the sequence is 0,0,0,.... this…

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

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Q: ne-n² n=1 Σ 2 пе --- O converges O diverges

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Is the statement always, sometimes, or never true?

A: a) Let Sn and Tn be the nth partial sum of the series with nth term an and bn. Since the series…

Q: 5.2 Find the radius of convergence and circle of convergence for n(-1)"(z – i)" 4"(n² + 1) n=1

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Q: 2. Show that if a > 0, then the sequence (²x²e¬n) converges uniformly on the interval [a, ∞), but…

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Q: 2* converge? If so, what does it converge to? If not, justify. 7k 1 2 2. Does

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Q: 5. Find all values of x >0 so that ) converges. 3k k=2

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Q: the series : 2 3 + 7 4 5 +... 3 Select one: a. diverges b. converges absolutely C. NOTA d. converges…

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

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Q: (-1)k-1) k4/3 Determine whether 6. converges absolutely, converges conditionally, k=1 or diverges.

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

A: * As per our guidelines, we are supposed to answer only one question.   Since you have posted more…

Q: n+1 Determine whether 2%3D1 n²/n converges or diverges. Give reasons for your answer. Paragraph B I…

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Q: (п +5)(п — 3) 1 | converges. If so, find its limit. n-1 Determine whether the sequence 4n?

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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: n - 3 п - 3 1 (-1)" converges absolutely because 0 3. Зп + 1 Зп + 1 n=1

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Q: 3)the sequence a) Convergent converge 1. z, nln(l+-)+; = -t is n 2n-1 b) divergent c) absolutely…

A: The given sequence is zn=nln1+1n+n22n-1i.

Q: a n+1) %3D 2n Ans. Converges, 6)

A: Since you have posted a multiple  question according to guildlines I will solve first (Q6) question…

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: ii. Investigate convergence or divergence of 2n + 100 3n +1). n=2

A: Given series is  ∑n=2∞-1n2n+1003n+1n

Q: nk - k > 2 + 1' converges. n=1 Select one: O True O False

A: We will use limit comparison test

Q: 6. The sequence (xn) = (3,3,3,3, ...) is .. a) not Cauchy b) unbounded c) divergent d) convergent

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Q: Q3: Show that 3(2)n+2 3(2)n+2 is convergence and En=0 5n Zn=0 5n 20.

A: Please refer to the image below.

Q: n + 3 2n + 1

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Q: [1-(-1)" | (g) n+1 Converges or Diverges: limit (If Converges): (h) Èl-(-1)" n+1 n=1 Converges or…

A: As per our guidelines, i can answer only obe question. Since part g and h are the parts of a same…

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: (-1)" converges absolutely, conditionally, or not at all. Determine if n! n=1

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Q: 1 1. Determine whether I = dr converges or diverges. If it converges, find its value. (6 13/17

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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: 4. Suppose (xn) converges, and let K be a positive integer. Now create a sequence (yn) by changing…

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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: (2n)! Σ n2n converges n = 1 Select one: True False

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Q: n - 1 converges absolutely because lim - 2 (n – 1) R=1 True O False Reset Selection

A: Consider the given series.

Q: 9. Use the definition of convergence to prove that the sequence converges. b) {2n/(3n + 2)} c)…

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Q: What is the convergency interval of (nl)*3" M(2n)! www n ww at. O a. [-4/3,4/3] O b. (-2/3,2/3) О…

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

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Q: ii. ) -3(n+1) -3n e n=1 If it converges, state the number that it converges to. If it diverges to,…

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Q: 6. If > an converges but >lan] diverges then we can be sure that n=1 n=1 (a) an converges…

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

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Q: Sequence which Converges 1P, where not in any Space L,where 1sp% td. to (space l) Find a to. but is

A: The objective is to find a sequence which converges to 0 but is not in any space lp, where…

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: (-3)" converges or diverges. Vn Determine whether n=1

A: ∑n=1∞-3nn Here, an=-3nn

Q: Vn2 +1 Prove that the sequence {an}n=1 converges by following the following sequence of steps n n=1…

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Q: 3-Vn Vn3 n=1 What type of test and does it converge or diverge?

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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.

A:

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.