Definition:Exponential/Real/Definition 1

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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 $x$.


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