1 Use the comparison test to determine whether the series converges or diverges. (3n + 1)15 n=1

Q: Determine whether the series converges or diverges.

A: Consider the series

Q: Determine whether the series converges or diverges. ∞ ∑…

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Q: 2. Determine if the following series converges or diverge b. E: n=1

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Q: b) Use the Ratio Test to determine if the series converges diverges. or n5" (2n + 3)ln (n + 1) n=1

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Q: 2" (n!) Σ (2n)! n=1

A: To determine the convergence of series.

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: Use the ratio test to determine if series converges or diverges. Σ 3(n!)2 (2n)! n=1

A: Solution: The objective is to determine whether the given series is convergent or divergent

Q: Use the Comparison Test to determine if the series converges or diverges. Sn+ 6n n-1 diverges O…

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Q: Determine whether the series converges or diverges. In(k) Σ k k = 1 converges O diverges

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Q: (4) Σ=o (−1)n+7 n2+3 1/1

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Q: 1. Use the Alternating Series Test to determine whether the series Σ(-1)"+¹ converges absolutely,…

A: Alternating Series Test: A series ∑an where an=-1n+1bn where bn≥0, ∀n is convergent if (i)…

Q: +o0 а. n п+2 n=1

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Q: 1. Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" n=1 converges or diverges.

A: Solution:-

Q: Use an appropriate method to determine whether or not the following series converges. (-1)" n² 2"…

A: we have to test whether the given series' is convergent or divergent. For this we can use ratio test…

Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: Use the indicated test to determine if the series converges or diverges. Fully justify your answer.…

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Q: Use the ratio test to determine if the series converges or diverges. E n!e-10n n=1 O Diverges O…

A: Given:∑n=1∞n! e-10n=limn→∞an+1an=limn→∞n+1!.e-10n-10n! e-10n=limn→∞n+1n! e-10n.e-10n!…

Q: 6. Use the root test to determine whether the series converges or diverges: k 2k3+3 5k2 + 1 k=1

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Q: 1. E(n + -3 2 n=1

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Q: Determine whether the series converges or diverges. 4n³ Σ n²-4 11=2

A: Given series is  ∑n=2∞4n3n4-4 ....(1)=4∑n=2∞n3n4-4 ....(2)

Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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Q: Σ 1 1 2n 2n+1 n=1

A: Given query is to find series converges or diverges.

Q: Use the Comparison Test to determine whether the series converges. Σ k=1 1 8 5k° +6

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Q: Use one of the two comparison tests to determine whether the series converges or diverges. n²-1 7n5…

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Q: 11) Use the Ratio Test to determine whether the series converges or diverges. (-4)2n n2 n=1 IM:

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Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: 3" – 1 Use the simple comparison test to determine whether the series converges 4n +n n=1 or…

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Q: 3 +∞ √√√n4 - 2 4n³ + 5 n=2

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Q: Use the ratio test to determine if the series converges or diverges. Σ E n!e-4n n=1 O Diverges O…

A: Given, ∑n=1∞n! e-4nwe have to determine the series converges or diverges using the ratio test

Q: Use the Ratio Test to determine if the series converges or diverges. E n!e-5n n=1 O Converges O…

A: The given series is: ∑n=1∞ n! e-5n

Q: n2(-3)2n 10" (п3 — 1) n=3

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Q: In the question as attached here, use the Direct Comparison Test to determine the convergence or…

A: According to the direct comparison test, if an infinite series, ∑nbn converges, then the infinite…

Q: 12. Use the ratio test to determine the values of x for which the power series x" Σ n! n=0 is…

A: We will solve the problem using D Albert's Ratio test.

Q: 8. 1 7n + 10 n=0

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Q: 18. Use the Ratio test to determine if the series converges or 2n+1 diverges En=1 n 3n-1

A: See the details solution in below

Q: 7. Use the Root Test to determine if the series converges or diverges. a. b. k=1 W k=1 2k

A: The given series, a) ∑k=1∞k+12kkb) ∑k=1∞kek

Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: Apply the ratio test to determine whether or not the series converges. (−1)n-13n 2 n² 8 n=1

A: Ratio test is used

Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +∞o…

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Q: 6 Use the Ratio Test to determine whether the following series converges. (a) (b)

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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: 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: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: 2 Consider the series (-1)"-1. n=1 (a) Show that the series converges. Justify your conclusion as…

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Q: 8. Use the Direct Comparison Test to determine whether the series converges or diverges. a. b. n=1…

A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

Q: b) Use the Ratio Test to determine if the series converges or diverges. n5" Σε (2n + 3)In (n + 1)…

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Q: k(-3)* 4k-1 기 1+3* 2k 00 k+1 k In(k) k=2

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Q: 1. Explain how you can use the alternating series test to show that the following series converge…

A: The solution are next step