What is the Maclaurin series for f(x)=x2exf(x) = x^2 e^xf(x)=x2ex?
∑n=0∞xn+2n!\sum_{n=0}^{\infty} \frac{x^{n+2}}{n!}∑n=0∞n!xn+2
∑n=0∞xnn!\sum_{n=0}^{\infty} \frac{x^n}{n!}∑n=0∞n!xn
∑n=0∞x2nn!\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}∑n=0∞n!x2n
∑n=0∞xn+1n!\sum_{n=0}^{\infty} \frac{x^{n+1}}{n!}∑n=0∞n!xn+1