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

Q: Use an appropriate test to determine whether the series converges. k 5k5 Σ 8k +5 k = 1

A: Consider the series ∑an Ratio test Define L=limn→∞an+1an, If L<1,the series is absolutely…

Q: Use a convergence test of your choice to determine whether the following series converge.

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Q: 2. Show that the series is conditionally convergent: n (-1)"-1 n² – 1 n=2

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Q: Determine if the series 2 converges or diverges and state which test can be used to support that…

A: To find whether the series in convergence or divergence

Q: Use the limit comparison test to determine whether the series converges Σ 7k + 5 k=1 The series

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Q: Use an appropriate test to determine whether the series converges. 00 k2 + 6k + 8 Σ 7k2 + 1 k = 1 By…

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Q: Indicate whether the series (-1)" n2 +1 n=1 Converges absolutely O Converges conditionally O…

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

A: Given series is ∑k=1∞7k+6-k. Then ak=7k+6-k (say). Let bk=1k. Then…

Q: Determine whether the series converges or diverge: n4 3n5 - 2 n = 1 converges O diverges

A: We have to solve

Q: sin (n) 2n=1 S 00 in: 5n

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Q: Determine whether the series converges. 2k – 1 k=1

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Q: 3. Decide whether or not the following numerical series converge. 5k + 4k2 (a) Σ 5k4 + In(k) + 2k +1…

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Q: Use an appropriate test to determine whether the series converges. 1. Σ k3-6k + 12 k = 2 By the this…

A: We have to check

Q: 1. Use the Integral Test to determine if the series converges or diverges. Indicate how the…

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Q: n2 2 n +7 n=1

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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: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

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Q: 3. Use the Ratio Test to determine whether the series en! converges or diverges. State n=1 if the…

A: The solution is given as

Q: Use an appropriate test to determine whether the series converges. 00 k3 Σ k5 +5 k =1 By the this…

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Q: 8 Σ η=1 1 3Vn + n η

A: Given: S=∑n=1∞13n+n4. To be find: determine whether the series converges or diverges. Concept: for…

Q: Use the Root Test to determine whether the series converges. 3k² Ë ( Σ k=1 k k+4

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Q: Use an appropriate test to determine whether the series converges. k² +3 2 k + 3k +2 2k²+1 Σ k=1

A: The given series,        ∑k=1∞k2+3k+22k2+1

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

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: 3 +∞ √√√n4 - 2 4n³ + 5 n=2

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Q: Use a convergence test of your choice to determine whether the following series converge.

A: Given series is ∑k=1∞ 5k22k+1.

Q: 9. Determine whether the series > (-1)"+'ne' diverges. converges or n=1

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Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: Use the Limit Comparison Test to determine whether the series converges. +6 Σ 3 k 1 Vk +4

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Q: *Determine whether the series is Converges or diverages -K 2K K-2 DO K=2

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Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

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Q: Use the limit comparison test to determine if the series converges or diverges. n=1 4n3/2 + 5n - 7

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Q: Determine whether the series ∞∑n=1 n2−1 /n4 converges or diverges.

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Q: determine whether the series converges or diverges.

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Q: Find both the interval and radius of convergenceof the Power Series るt Show!

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Q: Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

A: Use alternating series test for checking the convergence .

Q: Determine whether the series converges or diverges. Σ n+7h n + 2n n = 1 O converges diverges

A: Here we will use the ratio test of the series calculator to identify whether series is divergence or…

Q: (-1)" (ntl) 2. n²-3 n-1

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Q: Determine whether the series converges or diverges. 12n2 - 8 4 n + 7 n = 1

A: Given: un=12n2-8n4+7 To prove that the given series is convergent or divergent Limit Convergent…

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

A: Solution

Q: 2. Use the test of your choice to determine whether the series converges absolutely, 9. 4 +-+-+ 1!…

A: Explanation of the answer is as follows

Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: Use an appropriate test to determine whether the series converges. Σ k=4 3 1 -6k+24

A: Given series is ∑k=4∞1k3 - 6k + 24

Q: 00 1 (n- 4)2 2. n%3D5

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Q: Use an appropriate test to determine if the series converges or diverges. 7n Σ n =1 3n+5

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Q: Determine whether the series n1-3n converges or diverges. n=0

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Q: Determine whether the series converges absolutely or conditionally n = 0

A: We have to choose the correct answer

Q: Determine whether the series converges. n-5 Vn -4

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Q: Use an appropriate test to determine whether the series converges. 9 3 Ink M8 Σ k=3 By the this…

A: Comparison test to check the convergence