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

Q: E(- 1)"+1cos?n converges conditionally n=1 Select one: True False

A: We have to find whether the given statement is true or false.

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: Jlgu (-1)" +1 Σ (3x)" What are all of the values of x ,such that 00 converges? n=1 x>02 C) x>3.3 O

A: Using ratio test the condition of convergence is:…

Q: 3* + 4* 2) What does converge to?

A: ∑k=1∞3k+4k5k

Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >…

A: Simplify the expression of an. Multiply and divide the given expression of an by 4n2+3n+2n to…

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

A:

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: n n converges, because 0 < < 1 and an 2n + 1 2n + 1 ni an is decreasing. 2n + 1 True False

A:

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

A:

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…

A:

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

A:

Q: Suppose a,>0 for all n and 2 a, converges , which of the following must converge n = 1

A:

Q: What are all of the values of x ,such that (-1)*+(n) * converges? (). x1.40

A: Using ratio test a series converges iff:…

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

A:

Q: What are all of the values of x ,such that - (-1) n+A converges? n=1 .1 X26 .2 06

A:

Q: 7.) n=1

A: The given series

Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: Determine whether E=1(-1)"+1. 2n converges or diverges. If it converges, find the sum. 3n

A:

Q: Q.2)(A) Determine (215) ² Σ (5)(2+1) of each point convergens or diverges: 13.0

A: Given

Q: Q9:S a)converges to 2 b)converges to 을 c)converges to - 2 d)diverges

A: Since  you have posted a multiple  question according to guildlines I will solve first  (Q9)…

Q: 2 – 5n 11п-1 n=1

A: Use ratio test.

Q: If an and bn both converge, then an bn converges. n=1 n=1 n=1 True False

A:

Q: PART III: Decide whether each of the following converges absolutely or con- ditionally. Justify your…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 3n 4. Use the ratio test to determine whether Σ converges. (n + 1)! n=1

A: use the ratio test for convergence of series.

Q: 1 'n² – n-6 n=4

A:

Q: 5. If En-1 an converges, and if an +1 and a, > 0 for all n, (a) Show that E a converges. (b) Does E1…

A: Since, the sequence is a positive monotonically decreasing sequence, so, is also monotonically…

Q: n2 3" 1) > 6n+1 n=1

A: Given query is to find the series converging or diverging.

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

A:

Q: If > an converges, then a converges. n=1 n=1

A:

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

A:

Q: 211 8. Determine whether {(1+2)"} 5c1+系) Q8 Converges or diverges.

A: Series and sequences

Q: 6. SELECT ALL APPLICABLE C A) converges by root test 1 10n+1+(-1y" B) converges by ratio test B D. E…

A:

Q: The sequence (-1)"+1 n=1 is converge to (i) Converge (ii) Diverge

A:

Q: A Moving to another question will save this response. Question 3 k2+k+3 By using The Divergence…

A: We have to check

Q: Does it converge or diverge? Σ 2 + 2n' n=2

A: Given series is ∑n=2∞n2+2nn

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

A:

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: The sequence {G1)}m1 5n+3 5n+1 n=1 Diverges converges to Je3 converges to Je² converges to 0…

A:

Q: n· 3n 5n n=

A:

Q: n3" E(-1)"; 22n+1 n=1

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: Find the values of p such that E(-1)"- converges.

A: The given series :

Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

A:

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: Q3 A) Write the first five terms of the following: - 2. {1- (-1)") (3n+2 B) Determine which of the…

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

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

A:

Q: 2sys8 y > 8 Show that Y converges in probability to a constant, and provide that constant.

A: