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Q: •ƒ (x) = [ (x + 4)” n=2 n3" the interval of Convergence? What is the radius of convergence? What

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Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: Use the power representation of             f(x) = 4/(1-x^2) to find its interval of convergence

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Q: Find the interval of convergence of (x - 9)" In (9n) n=2

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Q: Find the intervals of convergence of f(x), f '(x), f "(x), and ſf(x) dx. Include a check for…

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Q: 1 _Let x₁ = a>0 and X₁+1=X₂ +· for n≥1. Determine if (x) is Xntl convergent or divergent.

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Q: Find the intenal of cor 0 (-1)^xn 8. ht3

A: Explanation of the answer is as follows

Q: 5. Determine the region of convergence for 13* + (- 3)* + 3-*1(2z-i)*

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Q: Let fn(x) = x^n for x ∈ [0,1]. check if it is pointwise convergence. Define where it becomes…

A: Given, fn(x) = xn , x ∈ [0,1].We will check poitwise convergence of fn on [0,1].

Q: let f(x). = ∞ { ntl (-1) (X-5)" и n5" n=1 Find the interval of convergence of a). f(x) b), f(x) c).…

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Q: an Assume f(x) = ) anx" converges on (-R, R). Show that F(x) = > n+1 is defined n+1 n=0 n=0 on (–R,…

A: Given power series is