Abstract We give a short construction of the exponential function using only the simplest properties of convergent sequences and two well-known elementary inequalities. It could be used at an early stage in introductory analysis courses, before studying convergent series, continuity, or differentiability.

中文翻译：

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指数函数的简短基本介绍

摘要 我们仅使用收敛序列的最简单性质和两个众所周知的基本不等式给出指数函数的简短构造。在学习收敛级数、连续性或可微性之前，它可以在介绍性分析课程的早期阶段使用。