Given that > x" with conv 1 - x n=0 find the power series for with 1 + 6x3 Σ n=0 Identify its interval of convergence. The convergent from left end included to x = right end includ

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A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =…

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A: ROOT TEST The given series is

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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A: Given that 11−x=∑n=0∞xn with convergence in −1,1 We have to find the power series of the function…

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Q: 1 Given that x" with convergence in (-1, 1), find the power series for with center 1+ 9x7 n=0 0.

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Q: Compute the value of the improper integral. (If the integral diverges to oo, type oo; if the…

A: The improper integral is given I=∫1∞lnx17xdx. Let lnx=t then 1xdx=dt Also, the limit changes from…

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Q: Given that a" with convergence in (-1, 1), find the power series for with center 1- x 1+ 9x? n=0 Σ…

A: We want a power series for x71+9x7We can write x71+9x7 as x7.11+9x7.Now, it is given that…

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Q: (3.x (За — 1)" 5" Vn +1 n=1

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Q: 2 f(x) = 1- x4 Answer: f(x) = + + +... What is the interval of convergence?

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Q: What is the radius of convergence of F(3x) if F(x) is a power series with radius of convergence R =…

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