Top 4 Algebraic Tricks for Computing Limits

We look at four common algebraic tricks used to compute limits, and see four examples of them. In all cases, these tricks help to take a limit which is in an indeterminant form (ex 0/0) and convert it into a determinant form that you can compute.

Factoring: Separating out the same factor from the top and bottom means you can cancel it
Expanding: Sometimes you need to multiply out and expression before you can see the canceling
Common Denominator: When you have a sum or difference of fractions, you can combine the fractions into a single one with a common denominator
Radical Conjugate: When you have expressions with square roots, often the radical conjugate is the trick you need

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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 math 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.

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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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