a2 reted in much ce e 0, how in e of the limit ust find a value 47. 1-2.5)") 48. < a,I Find the limit of the sequence ta,} if 1. n for n n il Compare the growth rates of {n} and fe"} as n . 12 Use Theorem 10.6 to evaluate lim 49. (b), where b, if n n+1 every integer n if r ne { nl00 50. Cos nco n at S n 52 nn In n Practice Exercises 13-52. Limits of sequences Find the limit of the following sequences 53. Plot a graph of the sequenc or determine that the sequence diverges. it definition determine the limit of the n12 14. diverges. 3n12 4J nt 13. 54. Plot a graph of the sequ n 3n 16. (3n 10n n determine the limit of 2n1 15 diverges. N. This nTT 10n 18. cot 2n +2 55-70. More sequences determine that the seque 1 10n +4 17. tan (-1) 55 19. 1+ cos n 2 = (-1)" 20 fIn (+1) In (3n + 10n)} 57. an becomes larger k 1 21. In sin + In n sin (nm 22. 9k2+ 1 59. n + 1 In n 26. (5(-1.01)") 25.In 3n 28. 100(-0.0 n 27. (2"+13-1 +T 30. 29. {(0.5)" 3(0.75) " } fore, given en 3"+1 + 3 31. 372 dkod ao 199 DOX 0 32 32. 3"+ 4' + 1, to be orf n provide 33. n +1)! [( (2n)! 3U0 34. n! (2n + en/10 36 cise 105 35. tan n

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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Can you help me on #31

a2
reted in much
ce e 0, how
in e of the limit
ust find a value
47.
1-2.5)")
48.
< a,I
Find the limit of the sequence ta,} if 1.
n
for
n
n
il Compare the growth rates of {n} and fe"} as n .
12 Use Theorem 10.6 to evaluate lim
49. (b), where b,
if n
n+1
every integer n
if r
ne
{
nl00
50.
Cos
nco n
at
S n
52
nn In n
Practice Exercises
13-52. Limits of sequences Find the limit of the following sequences
53.
Plot a graph of the sequenc
or determine that the sequence diverges.
it definition
determine the limit of the
n12
14.
diverges.
3n12 4J
nt
13.
54. Plot a graph of the sequ
n 3n
16.
(3n
10n n
determine the limit of
2n1
15
diverges.
N. This
nTT
10n
18.
cot
2n +2
55-70. More sequences
determine that the seque
1
10n +4
17. tan
(-1)
55
19. 1+ cos
n
2
= (-1)"
20 fIn (+1) In (3n + 10n)}
57. an
becomes
larger
k
1
21. In sin + In n
sin (nm
22.
9k2+ 1
59.
n + 1
Transcribed Image Text:a2 reted in much ce e 0, how in e of the limit ust find a value 47. 1-2.5)") 48. < a,I Find the limit of the sequence ta,} if 1. n for n n il Compare the growth rates of {n} and fe"} as n . 12 Use Theorem 10.6 to evaluate lim 49. (b), where b, if n n+1 every integer n if r ne { nl00 50. Cos nco n at S n 52 nn In n Practice Exercises 13-52. Limits of sequences Find the limit of the following sequences 53. Plot a graph of the sequenc or determine that the sequence diverges. it definition determine the limit of the n12 14. diverges. 3n12 4J nt 13. 54. Plot a graph of the sequ n 3n 16. (3n 10n n determine the limit of 2n1 15 diverges. N. This nTT 10n 18. cot 2n +2 55-70. More sequences determine that the seque 1 10n +4 17. tan (-1) 55 19. 1+ cos n 2 = (-1)" 20 fIn (+1) In (3n + 10n)} 57. an becomes larger k 1 21. In sin + In n sin (nm 22. 9k2+ 1 59. n + 1
In n
26. (5(-1.01)")
25.In 3n
28. 100(-0.0
n
27. (2"+13-1
+T
30.
29. {(0.5)" 3(0.75) " }
fore, given
en
3"+1 + 3
31.
372
dkod ao 199 DOX 0
32
32.
3"+ 4'
+ 1, to be
orf
n provide 33.
n +1)!
[(
(2n)!
3U0
34.
n!
(2n +
en/10
36
cise 105
35. tan n
Transcribed Image Text:In n 26. (5(-1.01)") 25.In 3n 28. 100(-0.0 n 27. (2"+13-1 +T 30. 29. {(0.5)" 3(0.75) " } fore, given en 3"+1 + 3 31. 372 dkod ao 199 DOX 0 32 32. 3"+ 4' + 1, to be orf n provide 33. n +1)! [( (2n)! 3U0 34. n! (2n + en/10 36 cise 105 35. tan n
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