### The function ( f(x)=frac{6}{1+16 x^{2}} ) is represented as a power series ( f(x)=sum_{n=0}^{infty} c_{n} x^{n} ) Find the first few coefficients in the power series. [ begin{array}{l} c_{0}= \ c_{1}=square \ c_{2}=square \ c_{3}=square \ c_{4}= end{array} ] Find the radius of convergence ( R ) of the series. [ R= ]

The function ( f(x)=frac{6}{1+16 x^{2}} ) is represented as a power series ( f(x)=sum_{n=0}^{infty} c_{n} x^{n} ) Find the first few coefficients in the power series. [ begin{array}{l} c_{0}= \ c_{1}=square \ c_{2}=square \ c_{3}=square \ c_{4}= end{array} ] Find the radius of convergence ( R ) of the series. [ R= ]