8) FIND THE INTERVAL OF CONVERGENCE (-1)"x' n 2n FOR 글지 n=2 ||

Q: (f) Assume that g(x) > bna" is convergent on (-R, R). Instead of assuming that f(rn) = 0 assume that…

A: We will prove the part (f) using two theorems   Theorem (a)Let f(x)=∑anxn be a non-constant power…

Q: What can you conclude about the convergence or divergence of ∑an?

A: Given that limn→∞ann=2. We have to conclude about the convergence or divergence of ∑an.

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Q: Q6. Find Ca) Radius of Convergence and (b) Interval of Convergence Š 4)^ (x-2)" 3n.Jots

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A:

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A: Sandwich theorem: If <an>, <bn> and<cn> are three sequences such that…

Q: 04: A) Consider the sequence (f,(x) of functions f,:R→R defined by: f.x)=Cos"(x) for-a/25xSa/2.…

A:

Q: If the interval of convergence is (-2, 3), then the radius of convergence Ris

A: NOTE: Refresh your page if you can't see any equations. . the interval of convergence is so here we…

Q: n+1 *Determine the interval of convergence for ) (x-5)** í(n+3)4* (Be sure to check the endpoints.)…

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Q: What is the interval of convergence of (-1)*'(x– 4)" Σ n+1 n.9" n=1 a. I: (2, 4) O b. I: (-1, 1) c.…

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Q: . Determine the interval and radius of convergence of (-1)^n² 4n+1 ∞ n=0 -(4x - 2)²

A: The  given equation  is  Now, Then,

Q: Find the radius of convergence and the interval of convergence for (-1)"x" En=1 Show all of your…

A: Explanation of the answer is as follows

Q: Find the interval of convergence of 5 (x - 9)" In (5n) n=2

A: Solution of question is written in below steps.

Q: „(4 - 1) = "p : И

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Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

Q: Find the interval of convergence of (x - 2)" In (5n) n=2 (Use symbolic notation and fractions where…

A: To find interval of convergence of ∑n=2∞ (x−2)nln⁡(5n) Let an = ∑n=2∞ (x−2)nln⁡(5n) Therefore, an+1…

Q: Find the limit of the sequence (/3, /3/3,/3/3/3. 3 Divergent IT 1 O O O O O O O

A: 0⁰Pp⁰

Q: An+1 Suppose limn→∞ = 3. Find the radius of convergence of 8. An an(-1)" En=0 -(x – 8)" ? 2"5

A: To find the radius of convergence of the given series

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Q: Limit n---infinity for the function nln((1-(3/5n))/4 using L'Hopitals

A: Evaluate the given function  as follows.

Q: (b) Analyze the convergence of (-3)" n25n n=1

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Q: Find the interval of convergence of Σ (-4)" (x+10)" n! (Use symbolic notation and fractions where…

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Q: 1) In order to use the integral test, we must verify that the sequence is decreasing (and positive…

A: We have to test series is convergent or divergent

Q: a) {tan"(n²)} p-1 n=1

A: There are multiple question. As per company policy kindly ask other question separately. a. This…