17. 1 2! 1.3 + (−1)″−¹. 4! 3! 1.3.5 1.3.5.7 n! 1.3.5 (2n − 1) ... +

Q: 5n+6 Σε m=0 =0 V2n3+4

A: Concept:

Q: 1 an 3sin2(n) The series converges. O The series diverges.

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Q: (-1)" n=2_n(lnn) 8

A: Given series is ∑n=2∞(-1)nn(lnn)  we want to check its convergence or divergence.

Q: (2k – 1)(k² – 1) (k + 1)(k² + 4)² - k=1 d.

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Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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Q: Use the ratio test to determine whether the series is convergent or divergent.

A: To solve the following

Q: if

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Q: cos(n/3) In n (1+:)*

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Q: Determine if the following series is divergent, conditionally convergent, or absolutely convergent.…

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Q: ∞ Σ(-1)^²-¹ (2 −1) en n=1

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Q: n 4" 3" +1 n n=1

A: Given series has the general term an=4n3n+1 Using ratio test, we know that if limn→∞an+1an=LIf…

Q: +∞ Σ n=2 3 Vn4 – 2 4η3 + 5

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Q: 8 12-0 2-i 4+3i

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Q: Determine and state whether the following series converges or diverges  justifying your answer.

A: The given series .The aim is to determine whether the series converges or diverges.

Q: 00 k6 k! k=1

A: We have to apply the ratio test to the following series -  ∑k=1∞k6k!

Q: 1 a. Direct Comparison Test: - k=1 Vk -3 k b. Limit Comparison Test: k'-1 k=1 3*2*+1 c. Ratio Test:…

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