Use the Ratio Test to Determine If the Series Converges $1+\frac{1}{2}+\frac{2 !}{4}+\frac{3 !}{8}+\ldots+\frac{n !}{2^{n}}+\ldots$

Use the ratio test to determine if the series converges: $1+\frac{1}{2}+\frac{2 !}{4}+\frac{3 !}{8}+\ldots+\frac{n !}{2^{n}}+\ldots$