Please show all the steps, thank you! Determine if the following series converge or diverge:

Q: Find if the series converges or diverges and explain what test used and show steps, help is needed,…

A: we will test the convergent by ratio test

Q: Determine if the series converges or diverges. If it converges, find its sum. Fully justify your…

A: Performing ratio test to check for convergence.

Q: Determine if each series converges or diverges. State which test you used

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Q: Determine whether the series below converges or diverges: (– 1)" Σ n=1 2n If you use a Test or…

A: Given series is, This is an alternating series.

Q: n+ Vn n=1

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Q: if

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: Refer to the question.Here we have to find the convergence of the series,

Q: a) Σ Vn²-1 n=1

A: To determine if the series converges or diverges.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 Σ…

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

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Q: n

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

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Q: n4 . 4" n!

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Q: 1 Ek=2 kVink

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Q: * Each series converges. Show why, and compute the sum. Ση 12 [η2 + 4η] ? η=1

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Q: show

A: We have to determine the sum of the given convergent series.

Q: 1 4) Ek=2 kV[nk VInk

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Q: 2. K-1 +4

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Q: temine if the followiny geries converges diverges 2"+1000n?

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Q: 3η b) Ση-1 00 n²-8

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Q: 3η-4 9. Ση- Σn2η? + 5n- 5

A: We have to test the given series is convergent or divergent.  For this we will use the limit…

Q: Does each series converge or diverge? Give a justification for your conclusion; show work State the…

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Q: Find the Generating function for the sequence 1,3,9,27,81,. Also find for which value the series…

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Q: 3- Vn 3 n=1

A: Convergent

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: The given series is: ∑n=1∞4n+15-n We have to determine whether the series is convergent or…

Q: Use the Ratio Test to determine if the series converges or diverges; show each step. n=1

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-4)"…

A: We have to determine the convergence of the given series.

Q: can you please answer both questions. Decide whether those two series will converge. Thank you

A: Given series

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

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Q: Which of the following series converge and which diverge? Explain your answers. (When checking an…

A: To find whether the series is convergent or divergent

Q: Using root test, the given series is convergent or divergent? n=4

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

Q: Determine if the series converges or diverges. k(k +2)

A: Consider the given series,…

Q: 8. 3n-2 (a) 4n+1

A: We have given a series;

Q: k+1 Σ 00 Lk=1 k3+1

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

Q: 1 k=1 Vk8 + 2

A: ∑k-1∞ 1k8+251k8+25<1k851k8+25<1k85∑k-1∞1k8+25<∑k-1∞ 1k85

Q: (1))3" 2.

A: The given series is : ∑n=0∞-1n3n2n    Applying  Ratio test to the above series.…

Q: п2"(п + 1)! 36. 2 3"n! n=1

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

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Q: 3" Σ A=1

A: WE USE THE COMPARISION TEST

Q: 3" + 2" (6) E 5" n=1

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Q: Does the series 2(: - ) n=1 \N converge or diverge? Justify your answer.

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Q: (-1y Determine if "n=2 n¬/n absolutely converges, conditionally converges, or diverges.

A: We have to find whether the given series ∑n=2∞-1nn-n absolutely converges, conditionally converges,…

Q: Use the ratio or root test to determine the convergence of each series.

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Q: Consider the series ++++ + .. .... Does the series converge or diverge?

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Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: Σ 4 n=1

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

Q: En=1 (tan

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Q: Does each series converge or diverge? Give a justification for your conclusion; show work. State the…

A: The solution are next step

Q: Determine whether this series converges or diverges. State all tests you used to make your 1 2 + 3"…

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Q: i) En=1 100 11

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