Limits | Chapter 7, Essence of calculus
Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works. 3Blue1Brown store: http://3b1b.co/store Let me know what you'd like to see in ...
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The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be honest, the idea of a limit is not really anything new. If you know what the word “approach” means you pretty much already know what a limit is, you could say the rest is a matter of assigning fancy notation to the intuitive idea of one value getting closer to another. But there are actually a few reasons to devote a full video to this topic. For one thing it’s worth showing is how the way I’ve been describing derivatives so far lines up with the the formal definition of a derivative as it’s typically presented in most courses and textbooks. I want to give you some confidence that thinking of terms like dx and df as concrete...
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The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be honest, the idea of a limit is not really anything new. If you know what the word “approach” means you pretty much already know what a limit is, you could say the rest is a matter of assigning fancy notation to the intuitive idea of one value getting closer to another. But there are actually a few reasons to devote a full video to this topic. For one thing it’s worth showing is how the way I’ve been describing derivatives so far lines up with the the formal definition of a derivative as it’s typically presented in most courses and textbooks. I want to give you some confidence that thinking of terms like dx and df as concrete...
