The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 0 -1 -2 -3 -4 -8 -6 x-values g(x) values Limit values of g(x) x-2 -2 1 -4 b. Find x→0 -2 -1 4 0 0 4 2 a. Use the graph of f and the table of g to determine lim f(x) 4 lim g(x)=5 lim g(x)=4 lim g(x) = 0 X→-1 X-0 5 3 6 lim g(x)=2 x-5 2f(x)²-3 lim X→-2 g(f(x)) 8 according to limit theorems. or explain why it does not exist. Use correct limit notation in your answer. m(x) lim . c. If m(x) = x − 3 and "(x)=√x-2-1, then find x→3n(x) Justify your answer and use correct limit notation in your work
The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 0 -1 -2 -3 -4 -8 -6 x-values g(x) values Limit values of g(x) x-2 -2 1 -4 b. Find x→0 -2 -1 4 0 0 4 2 a. Use the graph of f and the table of g to determine lim f(x) 4 lim g(x)=5 lim g(x)=4 lim g(x) = 0 X→-1 X-0 5 3 6 lim g(x)=2 x-5 2f(x)²-3 lim X→-2 g(f(x)) 8 according to limit theorems. or explain why it does not exist. Use correct limit notation in your answer. m(x) lim . c. If m(x) = x − 3 and "(x)=√x-2-1, then find x→3n(x) Justify your answer and use correct limit notation in your work
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
Solve it on the paper.
![The graph of f is shown on the coordinate plane. Selected values for g are shown in the table.
Graph of f
4
3
2
1
Ok
-1
-2
-3
-48
x-values
-6
-2
g(x) values
Limit values of g(x) x-2
b. Find x→0
-4
1
lim_g(x) = 5
-2
-1
4
y
0
lim g(x) = 4
X→-1
0
4
2
a. Use the graph of f and the table of g to determine
lim f(x)
4
lim g(x)=0
x→0
5
3
6
lim g(x)=2
X-5
2f(x)2-3
lim
X→-2 g(f(x))
X
8
according to limit theorems.
or explain why it does not exist. Use correct limit notation in your answer.
m(x)
lim
c. If m(x) = x − 3 and n(x)=√x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9688209e-eaf2-4fb2-a6cd-f0d5c564482f%2F10461e81-dcdc-4a44-a371-edff72497ba7%2Fgkbti6j_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of f is shown on the coordinate plane. Selected values for g are shown in the table.
Graph of f
4
3
2
1
Ok
-1
-2
-3
-48
x-values
-6
-2
g(x) values
Limit values of g(x) x-2
b. Find x→0
-4
1
lim_g(x) = 5
-2
-1
4
y
0
lim g(x) = 4
X→-1
0
4
2
a. Use the graph of f and the table of g to determine
lim f(x)
4
lim g(x)=0
x→0
5
3
6
lim g(x)=2
X-5
2f(x)2-3
lim
X→-2 g(f(x))
X
8
according to limit theorems.
or explain why it does not exist. Use correct limit notation in your answer.
m(x)
lim
c. If m(x) = x − 3 and n(x)=√x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work.
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