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Hello everyone! In this lesson, ChatGPT will be guiding us through the concept of continuous functions in topology. You might ...

Verifying the three part definition of continuity.

We explore some properties of continuous functions and work out some examples.

Discusses how to tell where a function is differentiable by examining its graph.

So this is a continuous function that has points where it's not continuous. That can be confusing so frequently instead of saying ...

the absolute value function is continuous on its domain, and this list of continuous functions is pretty much all of the functions we ...

... and this function breaks at 3, and I'm going to try to make this function be continuous at 3 by selecting appropriate values of "a.".

Easy to understand explanation of integrals and derivatives using 3D animations.

Which of the following functions are continuous at x equals three well as we said in the previous video in the previous example in ...

Prove or disprove f(x) = 1/x is continuous at X = 0. so maybe the function is continuous, maybe it's not well let's take a look at it.

We define an inner product on the space of continuous functions.

This video introduces the definition of continuity of a function at a point, including "left continuity" and "right continuity".

Not only are most day-to-day functions continuous, so are functions built out of continuous functions. There is an exception to that ...

This video covers normal distributions, continuous distributions, density functions, cumulative distribution functions, the 68-95-99.7 ...

Contemporary Algebra Collection Topic: Continuous Growth Models Video Title: The Continuous Exponential Function, Part 1 ...

Example of using the Extreme Value Theorem to find the absolute extreme values of a continuous function on a closed interval.

Review of three related concepts: Limits (specifically the left- and right-handed limit), continuity of a function, and differentiability of ...

We generalize some material into the setting of vector spaces.

The only difference between the non-continuous and continuous function is what happens at 2 itself. Definition: Suppose a ...

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