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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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.
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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