QuestionFind the Taylor series for $f(x)$ centered at the given value of $a$. [Assume that $f$ has a power series expansion. Do not show that $R_{n}(x) \rightarrow 0$.] $$\begin{array}{c} f(x)=\sin (x), \quad a=\pi \\ f(x)=\sum_{n=0}^{\infty}(-1)^{n} \cdot \frac{x^{2 n}}{(2 n)!} \end{array}$$