Find the first five non-zero terms of the Taylor series for f(x)=7ex\displaystyle {f{{\left({x}\right)}}}=-{7}{e}^{{x}} centered at x=4\displaystyle {x}={4}.


+ + + + + ...
         

Written compactly, this series is

 n=0\displaystyle {\sum_{{{n}={0}}}^{{\infty}}}