Use a test for convergence to determine whether the following series converge or diverge. n² – 2 (i) 2* k2 (iii) -1)"-1 Vn -1 (ii) ( ίv) Σ (iv) 3n² – 2 n3 +1 k! k=1 2n2 + 3 n=0 n=2 As part of your solution, clearly state which test for convergence is used.

Q: Σ (k+ 1) (k + 2) k=1

A: Ratio Test

Q: (c) Which of the following series converge? Justify any assertions that you make. (1) 3n (ii) n+1 3n…

A: I have given all the solution with the help of different tests.Final solution is in boxes.

Q: gence is found by taking the Ratio Test limit (or Root Test), setting the result < 1, and to the…

A:

Q: Please solve all

A: (a) Converges(b) Converges© Converges(d) Inconclusive(e) Converges to e.Explanation:Step 1: Step 2:…

Q: 00 b) Σ n=0 n?3* In(n + 2) 22n+2

A:

Q: Let bn = 8 2n + 7 Then, bn is positive, decreasing as n → ∞, and lim bn n→∞

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  so it can be…

Q: 13) Determine which test you would use to show convergence or divergence for the following infinite…

A: Explanation of the answer is as follows

Q: 5. Determine whether each of the series converges conditionally, converges absolutely, or diverges.…

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Q: 11. DETAILS Determine whether the series converges or diverges. Σ 5n2 - 1 8n° + 7 n = 7 To receive…

A: The solution is given as

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: