Taylor series for f(x) = e-x about x = 0 can be written as:
1
\(\mathop \sum \limits_{n = 0}^\infty \frac{{{x^n}}}{{n!}}\)
2
\(\mathop \sum \limits_{n = 0}^\infty \frac{{{{\left( { - 1} \right)}^n}{x^n}}}{{n!}}\)
3
\(\mathop \sum \limits_{n = 0}^\infty \frac{{{x^{n - 1}}}}{{n!}}\)
4
\(\mathop \sum \limits_{n = 0}^\infty \frac{{{{\left( { - 1} \right)}^{n + 1}}{{\left( x \right)}^n}}}{{n!}}\)