2η+1 9. q. El-1)": 2η n=0

Q: 5n+6 Σε m=0 =0 V2n3+4

A: Concept:

Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: @ Determine if the following series is convergent on divergent ntl ² حل Σ (-1) n=t ²³+4

A:

Q: Find out whether the series given below converges or diverges. 1 2 In 4Vn + n=1

A: We are given the series                              Notice that 14n+n3≈1n and…

Q: 00 > sin(" n=1

A: We will use test of divergence here

Q: 7η + 3η gn Σ΄ n=1

A:

Q: Determine whether the following series is convergent or divergent 3- Vn (a) 2 n=1

A: The given series is: ∑n=1∞3-n4n34,an=3-n4n34, n≥1f(x)=3-n4n34

Q: (2n)! Σ 5nn!n!

A:

Q: 2. Use the Ratio Test to determine whether the following series converges absolutely diverges or…

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Q: (-1)' Vn の n=1

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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 following series converges. Justify your answer. 3 Σ k=1 V5k V5k e

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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: Determine whether the following series is convergent or divergent 3- Vn (a) Vn3 n=1

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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: Determine whether the following series converges or diverges. n° + 7 n4 + 9 n=1 Input C for…

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Q: 1 81. E k=1\Vk + 2 Vk

A:

Q: Determine if the following series converges/diverges 1 En sin =1

A: To determine whether the below series converges or diverges. ∑n=1∞nsin1n

Q: S -1)*3" п! n=1

A: Use ratio test to determine if the following series converges or diverges.

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 following series is convergent or divergent 3- Vn ( a) Σ Vn3 n=1

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

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Q: 7k + 11k 51. У 11k k=1

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Q: Determine whether the following series converges or diverges. 4. (4k-3)(4k+1) k=3

A:

Q: Determine whether the following series converges or diverges. 7 n2" Input C for convergence and D…

A: Given series is ∑n=1∞7n2n

Q: (-1)"e-7/n 100 n=1 13

A: Seriese convergence or divergence

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: Determine whether the following series converges or diverges: Vn5+8 Input C for convergence and D…

A:

Q: Determine whether the following series converges or diverges. 5 n9" n=1 Input C for convergence and…

A: Given: ∑n=1∞ 5n·9n To determine: Whether the given series is convergent or divergent.

Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

Q: Determine whether the following series converges. 5( − 1)k + 1 k=1 k5

A:

Q: Determine whether the following series converges or diverges: n 5 + 3 n=1 Input C for convergence…

A:

Q: Determine whether this series converges or diverges by integral test. 00 Σ 1 n3 n=1

A: The given series is: ∑n=1∞1n3

Q: Determine if the following series converges or diverges. If it converges, determine the sum. Ln=0…

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Q: Determine whether the following series converge or diverge using the properties.

A: Here given as ∑k=1∞13k+13k+4 as 3k+13k+4≥k2   ;k≥1, k∈ℕThus13k+13k+1≤1k2 According to p test,…

Q: Determine whether the following series converges or diverges. Σ-1sin n=1 Input C for convergence and…

A: Concept used Alternating series test-

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

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Q: 4. Determine whether the following series converges or diverges. Vt° + 4t + 3 t=1

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Q: 00 sin(- 2 n=1

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Q: ANI (2k + 1)!

A:

Q: 1 25. E

A: Given that: ∑k=1∞1kek

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

A:

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: 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. Σ V5k k=1 V5k e 8.

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

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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 .