Q2// Test the following series converges or not: Σ 1 Z (n + 1)²(n + 2) n=1

Q: Use the limit comparison test to determine if the following series converges or diverges.…

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Q: Q1. Test the following series for being convergent or divergent: 1 a.) E ne1 (In n)" 2 b.) Σ 1- 3n 2…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 2. Check if the following series are convergent or divergent. Which method did you use? Why? (a) (b)…

A: (a) Given that, the series                ∑n=1∞ln nn3 = ∑n=1∞an  say Therefore,                 an =…

Q: Test the series for convergence or divergence. n2 E(-1)". Σ n2 + n + 1 n = 1

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Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: 00 (-1)" Ln-1 n п — n=2

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Q: Σ п4 + п? + 1 E(-1)"+1 + n2 n=1 n6

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Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 Σ n=2…

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Q: (-1)a+1, n² + 10 n n=1 n! n=1

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Q: ,1/2 Σ (n+1)"² 1/2 n=1

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Q: Σ (-1)"+1 n³+1 n=0

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Q: Determine the convergence or divergence of the following series. Σ n=0 n Vnt + 2

A: Here we will use integral test to check series is convergence or not .

Q: 6. Determine whether the following series converge conditionally, converge absolutely, or diverge.…

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