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The Epsilon-Delta Definition of Limits - Intro to Real Analysis Ep. 26
Автор: Joel Anderson
Загружено: 2026-02-24
Просмотров: 195
Описание:
This is episode 26 in a video series on an introduction to real analysis. In this video, I state and visualize the epsilon-delta definition of functional limits. We look at a few examples. We prove that this definition is equivalent to the sequential characterization of functional limits. We prove the Algebraic Limit Theorem for Functional Limits. We look at an example where a limit doesn't exist. Lastly, we extend the definition to limits and infinity and one-sided limits.
Main Source: Abbott, Stephen. Understanding Analysis. 2nd ed. Springer, 2015.
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