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Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

Access all videos and PDFs: https://tbsom.de/s/ra Become a member on Steady: https://steadyhq.com/en/brightsideofmaths ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

We introduce the notion of uniform continuity and give some motivating examples and calculuations. Please Subscribe: ...

We prove that the standard definition for the continuity of a function on the real line is equivalent to the topological definition ...

We outline the difference between "point-wise" continuous functions and uniformly continuous functions. Basically, with "normal" ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove a Function is Continuous using Delta Epsilon.

We prove that f(x)=|x|, also known as f(x)=abs(x), the absolute value function, is continuous on the real numbers. We complete this ...

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Continuity versus Uniform Continuity - Definition of a continuous ...

Access all videos and PDFs: https://tbsom.de/s/ra Become a member on Steady: https://steadyhq.com/en/brightsideofmaths ...

We prove that the continuous image of a connected set is connected and show this result implies the intermediate value theorem.

This calculus video tutorial explains how to identify points of discontinuity or to prove a function is continuous / discontinuous at a ...

We introduce the notion of differentiability and the derivative. Next, we give an example and a non-example. Finally, we prove that ...

We prove that f(x)=e^x, the natural exponential function, is continuous on its entire domain - the real numbers. We complete this ...

We give the definition of the lower integral, upper integral, and what it means for a function to be integrable. A few results are also ...

Uniform Continuity Definition and Intuition In this video, I give a quick introduction to uniform continuity, and provide some useful ...