(Solved): Q10 Find a power series representation for the function. (Give your power series representation cent ...

Find a power series representation for the function. (Give your power series representation centered at \( x=0 \). ) \[ \begin{array}{l} f(x)=\frac{x^{2}}{x^{4}+16} \\ f(x)=\sum_{n=0}^{m}\left(1 x^{\prime}+16\right. \\ \end{array} \] Determine the interval of convergence. (Enter your answer using interval notation.)