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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1) Summarize the big idea of this video in your own words
2) Write down anything you are unsure about to think about later
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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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►Discrete Math:    • Discrete Math (Full Course: Sets, Log...  

►Linear Algebra:    • Linear Algebra (Full Course)  

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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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