1 Given that 1 x" with convergence in (-1, 1), find the power series for with center %3D 1- x 1+ 6x9 n=0 0. n=0 Identify its interval of convergence. The series is convergent from left end included (enter Y or N): to x = right end included (enter Y or N):

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A: If R is the radius of convergence of a power series then the series converges for |x-a|<R.

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A: Given problem:-

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Q: 1 Given that 1- 1 2" with convergence in (-1, 1), find the power series for n=0 %3D with center 8.…

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Q: 1 Given that > x" with convergence in (-1, 1), find the power series for with center 0. 1- x 1+ 8x4…

A: Given function is fx=x41+8x4. Given that 11−x=∑n=0∞xn with convergence in -1,1. We have to find the…

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Q: 1 Given that 1 1 a" with convergence in (-1, 1), find the power series for 1 with center 0. 3x6 %3D…

A: It is given that ∑n=0∞xn=11-x=(1-x)-1=1+x+x2+x3+.....(By binomial expansion)

Q: 1 Given that Σ 1 x" with convergence in (-1, 1), find the power series for with center 1- x 1- 3x9…

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Q: (-4)2k k3k-2 Consider the power series (x – 2)*. k=1 Find the radius and the interval of convergence…

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Q: Find the interval of convergence of the power serie: (-4)" (r+ 8)". Vn n=1 The series is convergent…

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