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...
Related questions
Question
#27
![7.6 L
In (3x + 5)
ex/1000
13. lim
xo In (7x + 3) + 1
14. lim
x 3e3* + 5
which
functi
x² - In (2/x)
In (3x + 5e*)
a. In
16. lim
x In (7x + 3e2x)
15. lim
3x2 + 2x
use
с. х*
2*
onimos 18. lim
T 50-53. Li
of the pare
et
of In x.
17. lim
x0 x + 1
.2
29-40<
19-28. 1°, 0°, oº forms Evaluate the following limits or explain why
they do not exist. Check your results by graphing.
case, grap
your resu
50. lim
19. lim (1 + 2x)3/x
20. lim (1 + 4x)3/x
21.
lim (tan 0)cosemol
Dai 22.
lim (sin 0)tan e
52.
lim
0→n/2
ly
In x
23. lim (1 + x)cotx
24. lim 1 +
54. Ave
10)?
,2)mo
25. - om
lim (tan x)*
26. lim 1 +
a.
b.
27. lim (x + cos x)'/x 28. lim ( 3* + 2*)/x
aley
29-40. Comparing growth rates Use limit methods to determine
which of the two given functions grows faster, or state that they have
comparable growth rates.
0.
40<
des
с.
1 the
29. x10. е0.01х
30. x2 In x; In?x
31. In x20; In x
32. In x; In (In x)
33. 100%; х*
34. x2 In x; x³
d.
35. x20, 1.00001*
36. x10 In10 x: x!l
37. x*; (x/2)* AR
38. In Vr; In?
39. e. e10x
40. e: x*/10
Appli
Further Explorations
41. Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
55. C
sa
а.
a. lim x is an indeterminate form.
b. The number 1 raised to any fixed power is 1. Therefore, be-
b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff74ed3d3-57eb-4d2e-87f6-d577352010e1%2F3ca15ba8-0cb9-4410-ae6f-efee30cc5a91%2Ft8eezx8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7.6 L
In (3x + 5)
ex/1000
13. lim
xo In (7x + 3) + 1
14. lim
x 3e3* + 5
which
functi
x² - In (2/x)
In (3x + 5e*)
a. In
16. lim
x In (7x + 3e2x)
15. lim
3x2 + 2x
use
с. х*
2*
onimos 18. lim
T 50-53. Li
of the pare
et
of In x.
17. lim
x0 x + 1
.2
29-40<
19-28. 1°, 0°, oº forms Evaluate the following limits or explain why
they do not exist. Check your results by graphing.
case, grap
your resu
50. lim
19. lim (1 + 2x)3/x
20. lim (1 + 4x)3/x
21.
lim (tan 0)cosemol
Dai 22.
lim (sin 0)tan e
52.
lim
0→n/2
ly
In x
23. lim (1 + x)cotx
24. lim 1 +
54. Ave
10)?
,2)mo
25. - om
lim (tan x)*
26. lim 1 +
a.
b.
27. lim (x + cos x)'/x 28. lim ( 3* + 2*)/x
aley
29-40. Comparing growth rates Use limit methods to determine
which of the two given functions grows faster, or state that they have
comparable growth rates.
0.
40<
des
с.
1 the
29. x10. е0.01х
30. x2 In x; In?x
31. In x20; In x
32. In x; In (In x)
33. 100%; х*
34. x2 In x; x³
d.
35. x20, 1.00001*
36. x10 In10 x: x!l
37. x*; (x/2)* AR
38. In Vr; In?
39. e. e10x
40. e: x*/10
Appli
Further Explorations
41. Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
55. C
sa
а.
a. lim x is an indeterminate form.
b. The number 1 raised to any fixed power is 1. Therefore, be-
b.
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