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Use the Ratio Test to Find the Interval of Convergence x9+2x227+3x381+…+nxn3n+1\frac{x}{9}+\frac{2 x^{2}}{27}+\frac{3 x^{3}}{81}+\ldots+\frac{n x^{n}}{3^{n+1}}

Question 27

Short Answer

Use the ratio test to find the interval of convergence of the power series: x9+2x227+3x381+…+nxn3n+1\frac{x}{9}+\frac{2 x^{2}}{27}+\frac{3 x^{3}}{81}+\ldots+\frac{n x^{n}}{3^{n+1}}

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