A Tale of Three Functions | Intro to Limits Part I

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We look at three different functions that seem pretty similar, but are in fact slightly different.

Learning Objectives:
1) Decide where a rational function exists
2) Graph a piece-wise defined function.

Now it's your turn:
1) Summarize the big idea of this video in your own words
2) Write down anything you are unsure about to think about later
3) Where are we going with this content? What questions for the future do you have?
4) Can you come up with your own sample test problem on this material? Solve it!

Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master calculus means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK.

This video is part of a Calculus course taught by Dr. Trefor Bazett at the University of Cincinnati.

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I love you're energy 😂♥️ it makes me feel like I'm preparing for combat whenever I'm doing calculus!

ossahmadrezaazimikohnabi
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A nice tale of mathematics I've heard. "The tale of three functions ".😁😁 the set of allowable values or domain of the function differ from function to function. And one function can replicate the graph of another one.

Again thanking you! !!

Anne-gd
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great videos for those who want to learn the real math !

semiemregocer
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Wow these videos are amazing you are truly a blessing and can go to sleep proud knowing you are helping students:)

swaggersmacswagger
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I love your passion. This seties is brilliant

josephmalone
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A quick question, shouldn't (x2-1)/(x-1) equal 2 at X=1 using L'Hôpital's rule?

martinbooth
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Trevor had you made videos on precalculus. You would make your Student s astrophysiscts

ayaansiddiqui
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As if I'm learning it first time.

dukhtarakhtar