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Use asymptotic comparison test (limit comparison test) to help you decide whether the following series converge or diverge. Explain your reasoning very carefully in each.

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Use asymptotic comparison test (limit comparison test) to help you decide whether the following series converge or diverge. Explain your reasoning very carefully in each. 2k + 2 2. E 3k - 3 k=10 n2 + 2" + sinn 3. M 3n + 2n n=1 OO k + 2k1/2 4. In k + k4/3 k=100

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