Use an appropriate test to determine whether the series given below converges or diverges. (In n) Σ 00 3 n= 1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The Limit Comparison Test with 2, shows that the series converges. 1 n OB. 1 The Limit Comparison Test with 2 shows that the series diverges. OC. The series diverges because the limit used in the nth-Term Test is (Type an exact answer.)

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 8 Σ…

A: We try to check the  convergence or divergence of the above series. We apply ratio test to check it.

Q: The series converges OA. because the limit used in the Ratio Test is

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Q: Use the Alternating Series Test to determine whether the series converges. k 3 3k +1 Σ 1-1 +1. k=1…

A: Alternating Series Test :Consider the series ∑k=1∞ -1k+1 ak .Then,Converges if ak>0 and ak is…

Q: Evaluate Σ n=1 2 2 n' +4n+3

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Q: 1. Consider the sequence a₁ = cos² a. Does the sequence converge, or not? If it is convergent, find…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 8 Σ…

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Q: Use the Limit Comparison Test to determine if the following series converges or diverges. n-4 n=1…

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Q: Determine whether the following series converges. Justify your answer. ∞ 5k +12k Σ 12k k=1 CL Select…

A: The given series is  ∑k=1∞5k+12k12k                       = ∑k=1∞512k+12k12k…

Q: Use an appropriate 7k5 5 8k +6 Σ k=1 By the test to determine whether the series converges. k this…

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

Q: Determine whether the following series converges. Justify your answer. (- 15)* 00 Σ k! k= 1 Select…

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

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Q: Determine whether the series converges or diverges. 15n! n n = 1 The series converges by the Limit…

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