(Solved): /2 Points] SCALCET9M 11.10.013. Find the Maclaurin series for \( f(x) \) using the definition of a ...

/2 Points] SCALCET9M 11.10.013. Find the Maclaurin series for \( f(x) \) using the definition of a Maclaurin series. [Assume that \( f \) has a power series expansion. Do not show that \( R_{n}(x) \rightarrow 0 \).] \[ f(x)=\sin (x) \] \[ f(x)=\sum_{n=0}^{\infty}(\quad) \] Find the associated radius of convergence \( R \).