What are the most important power series to memorise?

Oct 19, 2014

Useful Maclaurin Series

$\frac{1}{1 - x} = {\sum}_{n = 0}^{\infty} {x}^{n}$

e^x=sum_{n=0}^infty{x^n}/{n!}

sinx=sum_{n=0}^infty(-1)^n{x^{2n+1}}/{(2n+1)!}

cosx=sum_{n=0}^infty(-1)^n{x^{2n}}/{(2n)!}

I hope that this was helpful.