Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = cos(n/5) lim an = DNE n- 00

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A: The step wise conversion of the problem is shown below please see tot he step by step solution and…

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A: Topic:- limit calculus

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A: We will evaluate the sum first.

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A: The nth term of the given sequence is as below.

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Q: find if diverges or converges. if converges, then find its limit cos²(8n) An 8n-1

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A: Explained below

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A: To determine whether an=cosn/4 converges or diverges we will use the n- term test which states that…

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A: Explanation of the answer is as follows

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A: It's a question based on conversion of limit into definite integral. Proceed as shown below...

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