5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Comparison Test: Suppose that E an and bn are series with positive terms. n=1 n=1 If an lim where c is a finite number with e > 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) Determine whether the series 5n10 + 2n +1 Vn 4064 + 1 n=1 converges or diverges by comparing with 1 n2022 You have to use the Limit Comparison Test to justify your answer. (b) Determine whether the series cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

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