Directions: Consider the following function:

$f(x)=e^{-2x},at,a=3$

Write out the Taylor series, in sigma notation, for $f(x)$ centered at the given value of $a.$

$f(x)={\displaystyle \underset{n=0}{\overset{}{}}}$

Find the Radius of Convergence for this series. If necessary, write INF for $.$

$R=$

$$