1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] x-2 (c) lim √f(x) g(x) x-2 h(x) (e) lim lim h(x) = 0 x-2 (b) lim [g(x)]³ x-2 3f(x) x-2 g(x) (d) lim (f) lim g(x) h(x) x-2 f(x)
1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] x-2 (c) lim √f(x) g(x) x-2 h(x) (e) lim lim h(x) = 0 x-2 (b) lim [g(x)]³ x-2 3f(x) x-2 g(x) (d) lim (f) lim g(x) h(x) x-2 f(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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Question
#1 in the picture. Unsure how to do it.
![2.3
Exercises
1. Given that
lim f(x) = 4
lim g(x) = -2
find the limits that exist. If the limit does not exist, explain
why.
(a) lim [f(x) + 5g(x)]
x-2
(c) lim √f(x)
g(x)
x-2 h(x)
(e) lim
(c) lim [f(x) g(x)]
x111
(b) lim [g(x)]³
x-2
lim
13. lim
3f(x)
x-2 g(x)
(d) lim
2. The graphs of f and g are given. Use them to evaluate each
limit, if it exists. If the limit does not exist, explain why.
(a) lim [f(x) + g(x)]
(b)
lim [f(x) = g(x)]
is correct.
(f) lim
1²-21-8
lim h(x) = 0
x-2
g(x) h(x)
x-2 f(x)
10. (a) What is wrong with the following equation?
x²+x-6
x-2
f(x)
(d) lim
x3 g(x)
(b) In view of part (a), explain why the equation
x²+x-6
x-2
(x + 3)
11-34 Evaluate the limit, if it exists.
11. lim (3x - 7)
=x+3
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicat
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to r
12. lim (8 - x)
14. lim
x² + 3x
3-9 Evaluate the
appropriate Limi
3.
(e) lim
x-2
+(4x²-5
5. lim (v²+20)
v-2
7. lim √9 - u³
41-2
9. lim
t→-1
2t - t
5t² + 4
SECTION 2.3
36. (a) Use a
to estim
places.
(b) Use a tab
four deci
(c) Use the L
37. Use the Squee
Illustrate by grap](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb71f8349-6ebb-40c8-b94a-446156d60cb3%2F1993fae7-fa9b-46b0-b194-e6acd6d92ba7%2Fwcdb2z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.3
Exercises
1. Given that
lim f(x) = 4
lim g(x) = -2
find the limits that exist. If the limit does not exist, explain
why.
(a) lim [f(x) + 5g(x)]
x-2
(c) lim √f(x)
g(x)
x-2 h(x)
(e) lim
(c) lim [f(x) g(x)]
x111
(b) lim [g(x)]³
x-2
lim
13. lim
3f(x)
x-2 g(x)
(d) lim
2. The graphs of f and g are given. Use them to evaluate each
limit, if it exists. If the limit does not exist, explain why.
(a) lim [f(x) + g(x)]
(b)
lim [f(x) = g(x)]
is correct.
(f) lim
1²-21-8
lim h(x) = 0
x-2
g(x) h(x)
x-2 f(x)
10. (a) What is wrong with the following equation?
x²+x-6
x-2
f(x)
(d) lim
x3 g(x)
(b) In view of part (a), explain why the equation
x²+x-6
x-2
(x + 3)
11-34 Evaluate the limit, if it exists.
11. lim (3x - 7)
=x+3
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicat
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to r
12. lim (8 - x)
14. lim
x² + 3x
3-9 Evaluate the
appropriate Limi
3.
(e) lim
x-2
+(4x²-5
5. lim (v²+20)
v-2
7. lim √9 - u³
41-2
9. lim
t→-1
2t - t
5t² + 4
SECTION 2.3
36. (a) Use a
to estim
places.
(b) Use a tab
four deci
(c) Use the L
37. Use the Squee
Illustrate by grap
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