Definition:Exponential Function/Real/Power Series Expansion

Definition
Let $\exp: \R \to \R_{>0}$ denote the (real) exponential function. The exponential function can be defined as a power series:


 * $\exp x := \displaystyle \sum_{n \mathop = 0}^\infty \frac {x^n} {n!}$

The number $\exp x$ is called the exponential of $x$.