Скачать или смотреть Algebraically evaluate limits of functions using factoring | Calculus

In this calculus math example, we explore how to solve limits of a function as our variable approaches a number. To start to find the limit of this function, we first plug the number that our variable is approaching in for each x and simplify. In this problem, we get 0/0. This indicates that we need to continue.

Next, we factor the numerator of the fraction. Because we found that evaluating the numerator at -4 resulted in the numerator equalling zero, we know that we have a factor of x - (-4) or equivalently x+4. The numerator is also a difference of squares, so finding the other factor isn't too difficult. The expression is reduced to lowest terms by cancelling out the common factor between numerator and denominator. Then we evaluate the resulting expression at the number that x is approaching and the solution is simplified.

This video contains examples that are from Business Calculus, 1st ed, by Calaway, Hoffman, Lippman. from the Open Course Library, remixed from Dale Hoffman's Contemporary Calculus text. It was extended by David Lippman to add several additional topics. The text is licensed under the Creative Commons Attribution license. http://creativecommons.org/licenses/b...

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