6. Suppose f(x) = 2* – 4 and g(x) = x – 2. Find the equa- tions of the tangent lines to these functions at x = 2. Then argue graphically that it would be reasonable to think f(x) as x → 2 might be g(x) that the limit of the quotient equal to the limit of the quotient of these tangent lines as x → 2.
6. Suppose f(x) = 2* – 4 and g(x) = x – 2. Find the equa- tions of the tangent lines to these functions at x = 2. Then argue graphically that it would be reasonable to think f(x) as x → 2 might be g(x) that the limit of the quotient equal to the limit of the quotient of these tangent lines as x → 2.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![6. Suppose f(x) = 2* – 4 and g(x) = x – 2. Find the equa-
tions of the tangent lines to these functions at x = 2. Then
argue graphically that it would be reasonable to think
f(x)
as x → 2 might be
g(x)
that the limit of the quotient
equal to the limit of the quotient of these tangent lines as
x → 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37838445-c92d-48b5-82d4-f0efdb5cedbf%2F82f3c7b7-9ea8-47d7-a397-d57bb54202c1%2Fnan4znt_processed.png&w=3840&q=75)
Transcribed Image Text:6. Suppose f(x) = 2* – 4 and g(x) = x – 2. Find the equa-
tions of the tangent lines to these functions at x = 2. Then
argue graphically that it would be reasonable to think
f(x)
as x → 2 might be
g(x)
that the limit of the quotient
equal to the limit of the quotient of these tangent lines as
x → 2.
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