Comparison Test: Suppose that an and b, are series with positive terms. n=1 n=1 If an lim = C n-00 bn where c is a finite number with c> 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Tesr. No points will be given for solutions that do not use the Limit Comparison Test. (a) ks) Determine whether the series 5n 10 + 2n + 1 n4064 + 1 00 n=1 converges or diverges by comparing with 1 n2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) rks) Determine whether the series cot converges or diverges. You have to use the Limit Comparison Test to justify your answer.

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