1. Let f and g be the functions with the graphs given below. Evaluate the following limits: • lim g (5 f (x)) 6 lim_g(f(x)) • lim_g(f(x) + 5) x-3+ *--2- Explain your steps. -2 -1 3 2 D -1 -2 L 1 2 (a) The graph of function f. 4 -5 -3 -2 -1 3 2, 1 0 D -1 -2 -3 1 2 (b) The graph of function g.

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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n 1. Let f and g be the functions with the graphs given below.
Evaluate the following limits:
6
• lim g(5f(x))
x→5
lim_g(f(x))
lim_g(f(x) + 5)
T
x→-3+
Explain your steps.
-2 -1
7
3
2
1
0
D
-1
-2
-3
1
(a) The graph of function f.
-5
T
-3 -2 -1
7
3
2,
1
0
D
-1
-2
-3
1
(b) The graph of function g.
Transcribed Image Text:n 1. Let f and g be the functions with the graphs given below. Evaluate the following limits: 6 • lim g(5f(x)) x→5 lim_g(f(x)) lim_g(f(x) + 5) T x→-3+ Explain your steps. -2 -1 7 3 2 1 0 D -1 -2 -3 1 (a) The graph of function f. -5 T -3 -2 -1 7 3 2, 1 0 D -1 -2 -3 1 (b) The graph of function g.
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Follow-up Question
Question 1. Let f and g be the functions with the graphs given below.
Evaluate the following limits:
-5
● lim g(5 f(x))
x→5
●
●
lim g(f(x))
lim_g(f(x) + 5)
-4
x→-3+
x--2-
Explain your steps.
-2 –1
3
2
1
0
0
-1
-2
-3
-4
1
2
(a) The graph of function f.
4
5
-5 -4
-3 -2 -1
Y
3
2
1
0
0
-1
-2
-3
-4
1
2
(b) The graph of function g.
5
Transcribed Image Text:Question 1. Let f and g be the functions with the graphs given below. Evaluate the following limits: -5 ● lim g(5 f(x)) x→5 ● ● lim g(f(x)) lim_g(f(x) + 5) -4 x→-3+ x--2- Explain your steps. -2 –1 3 2 1 0 0 -1 -2 -3 -4 1 2 (a) The graph of function f. 4 5 -5 -4 -3 -2 -1 Y 3 2 1 0 0 -1 -2 -3 -4 1 2 (b) The graph of function g. 5
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