18 K=1 ks <8+8 This series a. converges b. diverges

Q: Use a test to determine if the series converges (absolutely or conditionally) or diverges

A: Given:

Q: u) 1 Σ(-3 ---) n

A: Convergence of the series is tested by using comparison test

Q: -n=2 1 n(Inn)2

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Q: n3 18. n5 + 4n + 1 n=1

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Q: K=1 3√√√x² +7 2 K³ +4 3 • The limit comparison test with { k=1

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Q: 4" 2.

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Q: Use an appropriate test to determine whether the series converges. Σ k=1

A: Given series is ∑k=1∞7k+6-k. Then ak=7k+6-k (say). Let bk=1k. Then…

Q: Use the ratio testor the root test to determine whether the series converges or diverges.

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Q: Σ n=2 1 n√In(n) √√n Σ(-1)", n+3 n=1

A: We shall using certain test relating to convergence of the above series

Q: For this problem, type your answers directly into the provided text box. You may use the equation…

A: I have explained everything with in the solution. Please go through that.

Q: +∞ Σ n=2 3 Vn4 – 2 4η3 + 5

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Q: k=3 k+1 (k - 2)³

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Q: 11 Σ (₁+47) ²² k k=1 Select the correct choice below and fill in the answer box within your choice.…

A: Given series is ∑k=1∞1 + 11kk2

Q: (b) 3 4 6. | | 3 7 11 13 (c) Sum of the reciprocals of all natural numbers that can be written using…

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Q: Vt³ +4t + 3 t=1

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Q: Consider the series Σ(-1)nn n! n=0

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Q: Suppose that E °n·x" converges when x =-. 4 and diverges when x = + 6. n=1 What can be said about…

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Q: n=2 (Inn)² n³ 3

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