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We know a lot about functions now, so let's look at some special cases where functions get weird and jump around. Watch the ...

In this video, we explore the concept of continuous functions and provide a comprehensive explanation of the three key conditions ...

Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works. Help fund future projects: ...

Keep going! Check out the next lesson and practice what you're learning: ...

By taking sums, differences, products, ratios and compositions of continuous functions, we can get other continuous functions, and ...

In this video, we explore several ways to combine continuous functions and show that the resulting functions are also continuous.

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...

An Evening in Continuopolis [continuous random variables animation, probability density function]

SoME2 This video gives a detailed construction of transition function for various levels of smoothness. Sketch of proofs for 4 ...

This video covers the limit of a function. The focus is on the behavior of a function and what it is approaching. Remember this is ...

An introduction to continuous random variables and continuous probability distributions. I briefly discuss the probability density ...

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...

This video covers practical iimplementational aspects of the continious least squares approximation. An example problem is ...

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TheMathCoach explains the basic idea about limits, the definition of a continous function and how continuous functions can be ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: ...

In this video, we prove two results that show how certain topological properties are preserved under continuous functions.

We are just about done with calculus! Before we go, let's talk about one more topic that brings together differentiation and ...

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...