Taylor Series

A taylor series is a tool in mathematics to define a function in terms of an infinite power series. As long as the series converges, as is the case with the sine function, cosine function and exponential function, it is a very useful way to define functions.

Examples

Derive Definition of Exponential Function (Power Series) Using Taylor Series | Example

The exponential function can be defined using a Taylor Series expanded around 0 using two of its properties.