What is the Maclaurin series for f(x)=e−xf(x) = e^{-x}f(x)=e−x?
∑n=0∞xnn!\sum_{n=0}^{\infty} \frac{x^n}{n!}∑n=0∞n!xn
∑n=0∞(−1)nxnn!\sum_{n=0}^{\infty} \frac{(-1)^n x^n}{n!}∑n=0∞n!(−1)nxn
∑n=0∞(−1)nxn\sum_{n=0}^{\infty} (-1)^n x^n∑n=0∞(−1)nxn
∑n=0∞x2nn!\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}∑n=0∞n!x2n