Скачать или смотреть Calculus limits of functions approaching a number | Square Root

In this calculus math example, we algebraically evaluate a limit of an expression (function) that contains a square root. Each step of the process is explained in detail as you are showed how to solve limits in calculus. To do so, we first evaluate the expression by evaluating at the value our variable is approaching. Because we get 0/0, we continue our quest.

Noticing that there is a square root in the numerator but not the denominator, we multiply both numerator and denominator by the conjugate of the numerator. Each step of multiplying out the numerator is explained and we simplify as much as possible. The result has a common factor between the numerator and denominator that are simplified to get our problem to lowest terms. (This is allowed because we are taking a limit.) The resulting expression is then evaluated at the value our variable is approaching and we have our result of the limit.

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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