Зп? + 4n E(-1)"-1, 5n? - п + 2 n=1

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

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Q: 5n+6 Σε m=0 =0 V2n3+4

A: Concept:

Q: 5 31. У j=1j² + 4 j² + 4

A: We have to solve

Q: Σ 1 list all the possible tests that can be used to determine the convergence or divergence of this…

A: Given series ∑n=1∞1nen

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

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Q: Show whether the following series converges or diverges using comparison test. n+9 Σ n=1 n/n

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Q: Σ n=3 nV

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Q: In the given equation as follows , determine the convergence or divergence of the series and…

A: Given, ∑n=1∞2n2n+12 To determine whether the above series is convergent or divergent.

Q: 00 > sin(" n=1

A: We will use test of divergence here

Q: Determine if each series converges or diverges and state which test justifies your conclusion. n V3…

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Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: We have to determine whether the given series is convergent or divergent. Here we use Ratio test

Q: Determine whether the given series converges or diverges. Justify your work and state the name of…

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

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Q: Use an appropriate test to determine whether the following series converges. 1 Σ k=5 (k- 4)3

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Q: If 14 the Series Converges and is approximated with Ss, would the approximation be an overstatem ent…

A: We will first expand the series

Q: Determine if the following series converges or diverges. Give reasons for your answer. 1+2+3+ ... +n…

A: Given series is We know that Therefore, we have

Q: Use an appropriate test to determine whether the following series converges. 4 Σ 3 k =1 vk

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Q: 2k3k 35. У k=1

A: We have to solve

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

A: Determine series convergent or divergent.

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

A: Ratio test: If ∑an is any series and limn→∞an+1an=L If L < 1, series is convergent. If L > 1,…

Q: Find out whether the series given below converges or diverges. 1 4vn + \n_

A: Solution :- First we will see one series test. COMPARISON TEST(Limit form): Let ∑n=1∞an  and ∑n=1∞bn…

Q: (Зп)! (n!)3 n=1

A: Given series is

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: Determine whether the series converges or diverges. 00 n= 8 n - 7 O converges

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Q: 72 Tn+1 2n 00 n=1

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Q: 7k + 11k 51. У 11k k=1

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Q: Determine whether the following series converges. Justify your answer. Σ k=1 k! K+14

A: This is a problem related to series and sum calculator. Please follow the procedure given below.

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

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Q: n+70 n² + 15n² 72 2.

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Q: Determine if each of the following series converges conditionally, absolutely or diverges. You are…

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Q: 5*(k!)² 39. У (2k)! k=1

A: The Ratio Test : Let ∑n=1∞an be a positive term series and   L=limn→∞an+1an .Then, (i) If L<1…

Q: Q3. Determine whether the following series converge. Σ 4/ 3 n=lVn¯

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

Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: The given series,          ∑n=1∞3-n4n34

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

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Q: Find out whether the series given below converges or diverges. Σ n= 1 8Vn + n

A: Given series is  Here

Q: Q2. Check the convergence of the series tan"

A: The expansion of tan-1x=x-13x3+15x5-17x7+...... Putting x=1n , we get…

Q: Use an appropriate test to determine whether the following series converges. 9k +4 Σ k = 1 k Select…

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Q: State whether the series converges or diverges. Provide work/explanation: 00 7n n! n=1

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Q: Determine whether the following series is convergent or divergent by using ratio test. Σ. 5n+1…

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Q: 00 sin(- 2 n=1

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Q: Decide whether the following series converges or diverges. Explain your reasons clearly. (a) 8 1 Σ…

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Q: 1 25. E

A: Given that: ∑k=1∞1kek

Q: Decide which test for convergence is appropriate and then use it to determine whether the series is…

A: We have to test the convergent

Q: Determine whether the following series converges or diverges: 7 √n(n+3)(n+8) n=1

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Q: (-1)" (а) 2 a n7 n=2

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Q: Determine whether the following series converges. Justify your answer. 10k +9 Σ 10 k k = 1

A: Given series, ∑k=1∞10k+9k10

Q: Inn 1 1 1 1 + 25 1 1 a) Σ-(-1)" (- b) 1+ 4 1 + 64 n-Inn. 9. 16 36 49

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

A: ANSWER : CONDITIONALLY CONVERGENT    EXPLANATION :

Q: Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

A: To determine whether the given series is convergent .