# Definitions 1. [[Euler's Number as Real Power Series]]. 2. [[Euler's Number as a Convergent Real Sequence]]. # Properties Note that [[Euler's Number is irrational]]. We can use the [[Real Exponential Function|exponential function]] to define the $p$th [[Real Power of Real Number|power of any real number]] for any $p\in\mathbb{R}$ so $e^{p}=\exp(p)$. Note that $e=\exp(1)$.