Changes

===Examples of common Taylor series===

===Examples of common Taylor series===

<math>e^x=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\ldots</math>

<math>e^x=\sum_{n=0}^{\infin} \frac{x^{n}}{n!}=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\ldots</math>

<math>\sin x=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\ldots</math>

<math>\sin x=\sum_{n=0}^{\infin} (-1)^n\frac{x^{2n+1}}{(2n+1)!}=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\ldots</math>

<math>\cos x=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\ldots</math>

<math>\cos x=\sum_{n=0}^{\infin} (-1)^n\frac{x^{2n}}{(2n)!}=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\ldots</math>

====Extensions of the Exponential Function====

====Extensions of the Exponential Function====