QuestionFind 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 $R_{n}(x) \rightarrow 0$.] $$\begin{array}{c} f(x)=3^{x} \\ f(x)=\sum_{n=0}^{\infty}(\square) \end{array}$$
Find the associated radius of convergence $R$. $$R=$$ $\square$