Building up to computing limits of rational functions

We start with simple functions ( f(x)= c and f(x) = x ), and apply the Limit Laws of the previous video to build up to compute the limit of a class of more complicated functions: rational functions with nonzero denominators.

Learning Objectives:
1) Use graphs to compute the limits of "simple" functions
2) Apply Limit Laws in success to compute the limit of more complicated functions.
3) Apply the theorem about rational functions to quickly compute the limit of a rational function at points where the denominator is nonzero.

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) What questions for the future do you have? Where are we going with this content?
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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[iqbalmaruf]

Thank you, sir. Sir, your public speaking is so good for tell this lesson. I like this channel from Senior High School's Time.

[Anne-gd]

Oh yeah! It was cool enough to building limits up to rational functions or the quotient of polynomials. After certain evaluation we can graph the interesting polynomials as we remove the hindrance 'caused by limits by absolutely simple computing.
Thanking you! !

[sciencewithali]

thanks professorr ! you are investigating calc from the simplest intuitive point of view ! am enjoying every minute cant wait to reach Calc 3

[packishy]

Well explained thanks, my only question is for you to explain why certain calculations are necessary.

[iqbalmaruf]

And request for proof of the euler number with limit. Please.