多项式	展开式	迈克劳林级数	x的范围
\[\frac{1}{1-x}\]	\[1 + x + x^2 ... x^n\]	\[\sum_{n=0}^{\infty}x^n\]
\[\frac{1}{1+x}\]	\[1 - x + x^2 - x^3 ... (-1)^nx^n\]	\[\sum_{n=0}^{\infty}(-1)^nx^n\]
\[e^x\]	\[1 + x + \frac{x^2}{2!}+\frac{x^3}{3!} ... \frac{x^n}{n!}\]	\[\sum_{n=0}^{\infty}\frac{x^n}{n!}\]	\[all\]
\[sinx\]	\[x - \frac{x^3}{3!} +\frac{x^5}{5!} ... (-1)^n\frac{x^{2n+1}}{(2n+1)!}\]	\[\sum_{n=0}^{\infty}(-1)^n\frac{x^{2n+1}}{(2n+1)!}\]	\[all\]
\[cosx\]	\[1 - \frac{x^2}{2!} + \frac{x^4}{4!} ... \frac{x^{2n}}{(2n)!}\]	\[\sum_{n=0}^{\infty}(-1)^n\frac{x^{2n}}{(2n)!}\]	\[all\]
\[ln(1+x)\]	\[x - \frac{x^2}{2} + \frac{x^3}{3} ... \frac{x^n}{n}\]	\[\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^n}{n}\]	\[ [-1,1] \]
\[(tanx)^{-1}\]	\[x - \frac{x^3}{3} + \frac{x^5}{5} ... (-1)^{n}\frac{x^{2n+1}}{2n+1}\]	\[\sum_{n=0}^{\infty}(-1)^n\frac{x^{2n+1}}{2n+1}\]