se the Root Test to determine if the series (-1)" 2/n en² (2n2 – 1)" CONVERGES - n=1 converges or diverges. 2. Determine if the series Σ 3n -1)" =CONVERGES n4 + n=1 converges or diverges. 3. Consider the power series Note: (2.x – 1)3". n4 +1 Use the previous item to find - its interval of convergence. n=1

Q: Expand the function s in a power series E a,x" with center e = 0. Find anx". n=0 (Express numbers in…

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Q: Σ -(2.r – 1)3". 14+1

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Q: (x-4)" 6" n n=1 IM

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Q: h(x) = x ln(1 + 2x)

A: The function h(x)=xln(1+2x) Here, we have to use the 11-x as the base series to find the power…

Q: Expand the function in a power series E anx" with center c = 0. Find a„x". n=0 (Express numbers in…

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Q: Find the interval and radius of convergence of the power series

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Q: Σ+. Find the function represented by the power series ". Determine its interval of convergence.

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Q: Find all values of x for which each power series converges. Σ •a. (x +2)" l=ח

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Q: Find an easy expression for the sum of the series on its interval of convergence. (-1)"-'n -x" 2"…

A: Given series is ∑n=1∞-1n-1n2nxn

Q: 3. Find the interval of convergence for the power series 3" n n=1 Make sure to check the end points…

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Q: Use the geometric series to derive a power series for the function f(x) = 1 / (1-x). What is the…

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Q: . Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or…

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Q: Consider the series E, an where an = (-1)"(mM) yn In this problem you must attempt to use the Root…

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