(e) If n(x) = eg(x)+x lim xf(x) x-4 find n' (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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Calculate the exact value of each of the following limits, or write DNE if it is
undefined. You do not need to show work.
Consider the functions f and g as shown in the figures below.
f(x)
A
1 2
3 4
2
จ
(a) lim
1
g'(x)
x→2 ƒ(x) + 2
(b) lim (f(x - 1) - g(2))
x→6-
(c) lim
(d) lim
g(x) - 2
x →1 X 1
g(7 + h)
h→0 h
(e) If n(x)
-
5 6 7
eg(x)+x
lim xf(x)
x→4
find n' (2)=
-2 -1
T
15
1 2
3
5
g(x)
6
7
X
Transcribed Image Text:Calculate the exact value of each of the following limits, or write DNE if it is undefined. You do not need to show work. Consider the functions f and g as shown in the figures below. f(x) A 1 2 3 4 2 จ (a) lim 1 g'(x) x→2 ƒ(x) + 2 (b) lim (f(x - 1) - g(2)) x→6- (c) lim (d) lim g(x) - 2 x →1 X 1 g(7 + h) h→0 h (e) If n(x) - 5 6 7 eg(x)+x lim xf(x) x→4 find n' (2)= -2 -1 T 15 1 2 3 5 g(x) 6 7 X
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