D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is in the denominator (division of zero by zero)? O It is the definition of a derivative. O The definition of a limit, which is the best approximation of a function evaluated around an approached value, allows the cancellation since Ax is not exactly equal to zero. O It is Step 3. O (E) None of the choices O Using the definition of a limit, if the denominator was not cancelled out then it would not be possible to arrive at a function describing the slope of the tangent line to a function given value of x.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Question 8
In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is in the denominator (division of zero by zero)?
O It is the definition of a derivative.
O The definition of a limit, which is the best approximation of a function evaluated around an approached value, allows the cancellation since Ax is not exactly equal to zero.
O It is Step 3.
O (E) None of the choices
O Using the definition of a limit, if the denominator was not cancelled out then it would not be possible to arrive at a function describing the slope of the tangent line to a function
given value of x.
Transcribed Image Text:Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is in the denominator (division of zero by zero)? O It is the definition of a derivative. O The definition of a limit, which is the best approximation of a function evaluated around an approached value, allows the cancellation since Ax is not exactly equal to zero. O It is Step 3. O (E) None of the choices O Using the definition of a limit, if the denominator was not cancelled out then it would not be possible to arrive at a function describing the slope of the tangent line to a function given value of x.
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