Find the interval of convergence for 2 (-1)*3*x* gk+1 1 1 a) o[- а) b) O(-9,9) c) O[- 3,3] d) O(-3,3) e) O

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Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

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A: Let x-2=tThen dx=dti.e.∫-∞11(x-2)2dx∫-∞-11t2dt      [x=-∞, t=-∞-2=-∞]  [When x=1, t=1-2=-1]

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A: To find the interval of convergence.

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Q: Suppose that p(x) = > ant" converges on (-1, 1], find the interval of convergence of p(2x – 9) n=0 I…

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Q: 5. Use the Monotonic Convergence Theorem to show that x, converges. (부) -

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Q: Suppose that a, 20 and b, 2 0 for alln> N where N is an integer. If an lim = 0, what can you…

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Q: tan (x) n' In(n+2) 04: Determine the convergence of A=[0,+). on

A: Let the sum of the series be given by Sn. ⇒Sn=∑n=0∞tan-1(x)x2+n2ln (n+2) un=∑ n=0∞tan-1(x)x2+n2ln…

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Q: 6.4 Suppose that n =0 anx" has an interval of convergence of (-1, 1). Find the interval of…

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Q: Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

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Q: n! 1.3.5•••(2n-1) -} +∞ n=1

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Q: Determine the rate of convergence of the sequence an sin( +3 as n+ 00. %3D OA O(1/n) O B. O(n) OC…

A: The given sequence is: αn=sin2n+3n2-5    =2n+3n2-5-13!2n+3n2-53+...    =2+3nn1-5n2-13!2n+3n2-53+...…

Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

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Q: 04: A) Discuss the convergence of f,(x)=x+- -.on A [0,0).

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