What is the Maclaurin series for f(x)=e3xf(x) = e^{3x}f(x)=e3x?
∑xn3nn!\sum \frac{x^n}{3^n n!}∑3nn!xn
∑3nxnn!\sum \frac{3^n x^n}{n!}∑n!3nxn
∑(3x)nn\sum \frac{(3x)^n}{n}∑n(3x)n
3∑xnn!3 \sum \frac{x^n}{n!}3∑n!xn