Find the interval of convergence for each power series. Include endpoint convergence tests when necessary, making sure to show the details of all convergence tests and using interval notation when

Q: Find the radius of convergence and interval of convergence of the series. I need help with this…

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Q: b.)とC)X (-1

A: In the question it is asked to calculate radius and interval of convergence.

Q: 1.2 1.2.3, 1.2.3.4 + ... 1.3 1.3.5 1.3.5.7

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Q: (-1)"x" 2" (n + 1) n=0 8.

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Q: m = 0 (²) 2 \m 2m X

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Q: 7 A = > B=E(-1}**1 n2 n=1 N + 4n+1> n=1 ,3

A: The series A is convergent. The series B is divergent.

Q: The power series can be understood as a function of x, whose domain is the set of all values of x…

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Q: ΣΑ x n=1 (x-2) 2) n 3" (n² +1 2

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Q: 00 Σ (b)" (х — а)",b > 0 In (n) n n=2 8

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Q: finding the interval of convergence for this series

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Q: 2 En=1 n(n+1)

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Q: x+2 f(x)= 2x – r+1

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Q: Create your own example of a convergent series for which you use the basic comparison test. Make…

A: To Do: Create an example of a convergent series and use the basic comparison test. And give a proper…

Q: 00 (-2)" (3х 5)" Зп — 2 (Зх — 5)т n=1

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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: (х-2)" n=' (n+1)3" 00 a.

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Q: 1

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Q: 8 Consider 2-³. This is deceptive, and it is tempting to cal- n=0 = culate B lim sup(2-¹)¹/n = and…

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Q: Consider the series n=1 п? n6 - 2n + 10

A: ∑n=1∞n2n6-2n+10