Show that the value of f(x) approaches the value of g(x) as x increases without bound graphically and numerically. f(x) = (1 + 3)*, g(x) = e³ (a) graphically y 20 15 10 O 5 y 20 15 10 5 X 20 g(x) = e³ 20.086 10 100 1000 20 10000 100000 40 40 (b) numerically (Round your answers to three decimal places.) 60 f(x) = (1 + 3)* 60 80 80 y -5 -10 -15 -20 -80 20 -60 40 -40 60 -20 80 y 5 -10 -15 -20 X X

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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Show that the value of f(x) approaches the value of g(x) as x increases without bound graphically and numerically.
f(x) = (1 + 3)*, g(x) = e³
(a) graphically
y
20
15
10
5
y
20
15
10
5
20
X
20
g(x)=e³ 20.086
10
100
1000
10000
100000
40
40
60
(b) numerically (Round your answers to three decimal places.)
f(x) = (1 + 3)*
60
80
80
X
X
y
-10
-15
- 20
-80
O
20
-60
40
-40
60
- 20
80
y
-5
-10
-15
-20
X
X
Transcribed Image Text:Show that the value of f(x) approaches the value of g(x) as x increases without bound graphically and numerically. f(x) = (1 + 3)*, g(x) = e³ (a) graphically y 20 15 10 5 y 20 15 10 5 20 X 20 g(x)=e³ 20.086 10 100 1000 10000 100000 40 40 60 (b) numerically (Round your answers to three decimal places.) f(x) = (1 + 3)* 60 80 80 X X y -10 -15 - 20 -80 O 20 -60 40 -40 60 - 20 80 y -5 -10 -15 -20 X X
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