7n2 + 3n +1 Determine whether the given series is convergent or divergent: Show all 5n4- 2n - 1 n=1 your work.

Q: 8. Determine whether the series is convergent or divergent: Σ n-5√n 1+3n²

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Q: Determine whether the series converges conditionally or absolutely, or diverges. 1). E- n+3 2). E.…

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Q: Consider an tan -1n • Determine if the sequence {an}=1 converges or diverges. n=] • Is the series an…

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Q: 1" n=1 V 2n +n– 1

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Q: 5"x3n Find the sum of the series: >(-1)" n! n=0

A: see below the answer and calculation

Q: Determine whether the series is convergent or divergent: 3n+1 a. En=1 5n+4 5n b. En=1 en

A: (a) The given series is ∑n=1∞3n+15n+4. Ratio test : Suppose that limn→∞an+1an=L, then if L<1 then…

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the…

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Q: The series is divergent: n=1 Select one: O True O False Give your reasons 3n - 5n2 n² + 1

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Q: Determine convergence or divergence of the series. n=1 (2n 4)5/4

A: I have given an answer in step 2.

Q: Q4)- Determine whether the series is convergent or divergent. 00 n4 + 16 Z7n² – n³ + 9 | n=1

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Q: 4n+1 Use a comparison test to determine whether the series is convergent or 3n – 2 - nt.

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Q: Use the root test to determine whether the series Since lim n→∞ 4 )= n=1 6n n6.3n+1 converges or…

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Q: +∞ η=1 Σ 4η (n+1)3

A: The solution is given as