1. Test if the following series converges or diverges. State the test that you are using and show how the conditions of the test are satisfied. 3k k!

Q: Decide whether the following series converges or diverges. (a) L n00 5n-2021n² , 7" 4"

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Q: Use the comparison test to determine if the following series converges or diverges. sin?n Σ 9/2 n=1…

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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 converges or diverges. Show all necessary steps. 7k4 +8k3-6…

A: a) Apply ratio test and check weather series is convergent or divergent.

Q: to ine whether the following series converge or diverge. Be sure to clearly indicate which test you…

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Q: 2. Use the divergence test to determine whether the following series converges or state that it…

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Q: Use an appropriate test to determine whether the following series converges. 10 Σ k=1 k

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Q: Determine whether the following series converges or diverges. Show all necessary steps. 8. 7K +8k3-6…

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Q: Use an appropriate test to determine whether the following series converges. 5k Σ 2k k= 1 e

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Q: Q2. Show that whether the following series converges or diverges n! n=1

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Q: Use an appropriate test to determine whether the following series converges. k 4k k=1

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Q: Use the comparison test to verify that the following series converges: 1 Σ n=15+n7

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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: (e) Determine whether the following series converges or diverges by using the comparison test: Σ 1=0

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

A: We have to check whether the given series is convergent or divergent.…

Q: Use the comparison test to verify that the following series converges. 1 n2 + 2 n=1

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Q: Q1) Which of the series converge, and which diverge? Give reasons for your answers. In(n2) 1 ) Σn-2…

A: Series test

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: Determine if the following series converges or diverges 3 E (1 - n=1

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

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Q: state whether the series converges or diverges

A: Apply ratio test and check weather series is convergent or divergent.

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

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Q: Σ n" n! n=1

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Q: The series Σ an n=1 and Σ An n=10000 either both converge or both diverge. True False

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Q: 1. Indicate if the following series converge or diverge. You must identify all the tests you use and…

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Q: Are the following series conditionally convergent, ab- solutely convergent, or divergent? Show all…

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

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Q: Q2/ Which of the following series is convergent? Ση n+ 1 n=1 () Σ n=0

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Q: (c) In(k) k=2

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Q: 1. Determine if the following series converges or diverges? (e*") (п- 2)! n=3

A: Use Ratio Test to check whether series Converges or Divergences.

Q: 3n2 + 2n Σ n3 + n² + 1 n=1

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Q: Determine whether each of the following series converges or diverges. (-1)"3" ( a) Σ (Зп)! n=1 (3n)!…

A: Given the series

Q: 1. Determine if the following series converges or diverges? Σ (e") (n – 2)! n=3

A: here i use ratio test for series

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

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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: Use the Comparison Test to determine if the following series converges or diverges. 00 1 Σ 5n2 + 3…

A: Given : ∑n=1∞15n2+3

Q: 00 n2 Σ (b) (п-1)! n=2

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Q: 4. Use the Ratio Test to determine if each of the following series converges or diverges. You do not…

A: We have to use ratio test.

Q: .Determine whether the following series converges or diverges. Show all necessary steps 25 +.. 16 9.…

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Q: n+70 n+15n²

A: Test for Divergence:If limn→∞ an≠ 0 , then the series ∑n=1∞ an is divergent.

Q: Which of the following tests allow us to conclude k+ 2 if the series > )", converges or k+1 k=1…

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Q: Use an appropriate test to determine whether the following series converges. 0 4k +7 Σ k. k=1

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Q: Use an appropriate test to determine whether the following series converges. 9k+19 Σ k k= 1

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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

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Q: The series An n=1 and An n=10000 either both converge or both diverge. True False

A: Notice that ∑n=1∞an=∑n=110000an+∑n=10000∞an. And ∑n=110000an is a finite series sum which is finite…

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…

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 (- n =…

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Q: Decide, whether the following series are convergent or not: ik? + k 3 +i 2k+1 a) b) 2i (2k + 1)! IM:

A: As per our guidelines, we can solve first question for you. For other please resubmit them.

Q: -3 (а) 2*/2 k=1

A: see below the answer we will use the ratio test