Use the ratio test to find the interval of convergence of the power series:
$x+\frac{x^{2}}{2}+\frac{x^{3}}{4}+\ldots+\frac{x^{n}}{2^{n-1}}+\ldots$

Name: Use the ratio test to find the interval of convergence of the power series: $x+\frac{x^{2}}{2}+\frac{x^{3}}{4}+\ldots+\frac{x^{n}}{2^{n-1}}+\ldots$
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The Answer of Use the ratio test to find the interval of convergence of the power series:
$x+\frac{x^{2}}{2}+\frac{x^{3}}{4}+\ldots+\frac{x^{n}}{2^{n-1}}+\ldots$

Use the Ratio Test to Find the Interval of Convergence x+x22+x34+…+xn2n−1+…x+\frac{x^{2}}{2}+\frac{x^{3}}{4}+\ldots+\frac{x^{n}}{2^{n-1}}+\ldotsx+2x2​+4x3​+…+2n−1xn​+…

Use the Ratio Test to Find the Interval of Convergence $x+\frac{x^{2}}{2}+\frac{x^{3}}{4}+\ldots+\frac{x^{n}}{2^{n-1}}+\ldots$