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

Short Answer

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