The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 V 2 1 0 -1 -2 -3 -45 -8 x-values -6 -2 1 -4 g(x) values Limit values of g(x) x→-2 -2 0 4 0 lim g(x)=5 lim g(x)=4 X--1 5 3 2 a. Use the graph of f and the table of g to determine 4 lim X-6 6 2 lim g(x)=2 lim g(x)=-2 x-5 x-6 6 2f(x)²-3 f(g(x)) 8 according to limit theorems
The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 V 2 1 0 -1 -2 -3 -45 -8 x-values -6 -2 1 -4 g(x) values Limit values of g(x) x→-2 -2 0 4 0 lim g(x)=5 lim g(x)=4 X--1 5 3 2 a. Use the graph of f and the table of g to determine 4 lim X-6 6 2 lim g(x)=2 lim g(x)=-2 x-5 x-6 6 2f(x)²-3 f(g(x)) 8 according to limit theorems
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please use the limit rule, which is lim(x->c) f(g(x)) = f( lim_(x->c) g(x))!
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
V
2
1
0
-1
-2
-3
-4
x-values
-6
-2
g(x) values
Limit values of g(x) x-2
-4
1
lim_g(x)=5
0
4
0
5
сл
3
2
a. Use the graph of f and the table of g to determine
4
lim
X-6
6
2
lim
im g(x)=4 lim g(x)=2 lim g(x)=-2
X→-1
X-5
X-6
6
2f(x)²-3
f(g(x))
8
according to limit theorems.
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