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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 ...

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We present the precise definition of continuity and prove that it is equivalent to "sequential continuity". Further, we relate this to the ...

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: ...

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 ...

In this video we begin our study of continuous functions between metric spaces. We start by explaining terminology, such as ...

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 ...

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

Episode 25 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class.

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

Real Analysis problem! Proving x^2 is continuous but NOT uniformly continuous on (-inf, inf) 💪 Support this channel, ...

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

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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 ...

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove a Function is Uniformly Continuous. This is a proof that ...

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

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