k 75. k k=1

Q: (-1)" –1)" 2.) n² + 1 n=1

A:

Q: Q5. Determine whether the following series converges absolutely, converges conditionally, or…

A: Taking absolute value and applying root test

Q: Determine whether the following series converge. Justify your answers.

A:

Q: Which of the following series is convergent? (1) 2 + 1 + ? + + + 1+ 3" (ii) E 1 + 7" n=1

A: (i) 2+1+23+12+25+13+......(ii) ∑n=1∞1+3n1+7n

Q: Determine whether the following series converges or diverges. Justify your answer. (a) E, n+14n–7…

A:

Q: 7) E n2 n=1

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

Q: Determine if the following series converges or diverges, name the test you will be using. 00 (2n)!…

A:

Q: Q2/ Which of the following series is convergent? E In

A:

Q: 3. n=1

A:

Q: Decide whether the following series converges absolutely, converges conditionally, or diverges.…

A:

Q: Use the test of your choice to determine whether the following series converge.

A: Given: ∑k=1∞ak=∑k=1∞k8k11+3 We have to determine whether the ∑k=1∞akseries converges.

Q: M8 Determine whether the following series are convergent o o) ntan ). e) E 12+ 23+32+.... n2"

A:

Q: (-1)" 2.) n² + 1 n=1

A:

Q: Determine whether the following series converges or diverges. ΣΗ 9 + 7" n=1

A: Determine series convergent or divergent.

Q: Σ n+1) 2n +1 n=1

A:

Q: .Determine whether the following series converges or diverges. Show all necessary steps 25 +.. 16 16…

A:

Q: Q2/ Which of the following series is convergent? 2 In n + 1 n= n=0

A:

Q: Determine whether the following series converge. Justify your answers.

A:

Q: Determine whether the following series converges. Justify your answer. (- 1)*k Σ 9k +1 00 k= 1

A: The given series is an alternating series and not a geometric series. So we will ignore the…

Q: M8 Σ n=1 3 n2 + n

A: Given problem:- Determine whether each of the following series converges.

Q: Determine whether the following series converges or diverges. 00 7+ 5" n=1 IM:

A:

Q: Determine whether the following series converges. Justify your answer. 1 Σ k = 1 Vk e

A:

Q: Determine whether each of the following series converges. (Make sure to state which test you are…

A:

Q: Determine if the following series converges or diverges? 00 Σ (en) (п - 2)! n=3

A:

Q: Зп? + 4n E(-1)"-1, 5n? - п + 2 n=1

A:

Q: COS N 2+1.8" n%3D1

A: Answer is mentioned below

Q: Q3. Determine whether the following series converge. 1 1 4 n=lVn

A: We have to determine the given series is convergent or divergent.

Q: 4 16 (6);+ 4 9. 16 25

A:

Q: Q3. Determine whether the following series converge. 1 3 n=1 n=lÿn°

A:

Q: H.W

A:

Q: 2 Σ(-1)". n+1 n=1

A:

Q: -2, n-1 1.) E 15("- 5 n=1

A: if a series  is absolutely convergent then it is conditionally convergent  ie  ∑an   is convergent…

Q: Does the following series converge or diverge? Give reasons for your answer. 12"n!n! Σ (2n)! 00 n =…

A:

Q: 00 n2 Σ (b) (п-1)! n=2

A:

Q: Determine whether or not the following series converges. If it converges, find what it converges to.…

A:

Q: Use the test of your choice to determine whether the following series converge.

A:

Q: 00 En'e-n 2. n-e n=1

A: Explanation of the solution is given below...

Q: Determine whether the following series converge. Justify your answers.

A: The given series is ∑k=1∞ 5k k!22k!. Compare the above series with its standard form ∑k=1∞ ak and…

Q: C〇 a"n とm+1)! a70 n-0 TL

A: Apply the ratio test,…

Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

A:

Q: state whether the following series is convergent or divergent and state which test you used: an =…

A:

Q: 1 25. E

A: Given that: ∑k=1∞1kek

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

A:

Q: 9 + cos n 9h n=1

A:

Q: 2k + 1 36. E(-1)*+1 k! k=1

A:

Q: Σ 4 n=1

A: Given series is ∑n=1∞n+1nn Let, an=n+1nn

Q: Determine whether the following series converges. Justify your answer. Σ V5k k=1 V5k e 8.

A:

Q: Does the following series converge. If yes, find the sum 2" +1 Σ n =1 e"

A: Given series can be rewrite as,∑n=1∞2n + 1en =∑n=1∞2nen + ∑n=1∞1en                     =…

Q: E 5n2+7n+12 n=1 8n²+17n-1

A:

Q: Determine whether each of the following series converges absolutely, con- s conditionally, or…

A: Since you have asked multiple questions, we will solve the first question for you ∑n=2∞ -1nnlnn3…