xe* 33. lim e-3r 35. lim 1+00 x+ 3x+1 log, x 37. lim X+0+ log, 3x In(x – 2) 39. lim In(x² – 4) X+2+ COS X – 1 41. lim 1→0 sin x - 1- COS X 43. lim tan x
xe* 33. lim e-3r 35. lim 1+00 x+ 3x+1 log, x 37. lim X+0+ log, 3x In(x – 2) 39. lim In(x² – 4) X+2+ COS X – 1 41. lim 1→0 sin x - 1- COS X 43. lim tan x
Elementary Geometry For College Students, 7e
7th Edition
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Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 18E: A rectangle has an area of 36 in2. What is the limit smallest possible value of the perimeter of the...
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# 33, 39, 43 please
![Calculate each of the limits in Exercises 21-48. Some of these
limits are made easier by L'Hôpital's rule, and some are not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d1caaac-c43d-4e83-9fd2-e96d2e2c94bc%2Fba81f59b-6664-43e6-ab36-122a0426e1c5%2Fb5wc3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Calculate each of the limits in Exercises 21-48. Some of these
limits are made easier by L'Hôpital's rule, and some are not.
![Calculate each of the limits in Exercises 49-64. Some of these
limits are made easier by considering the logarithm of the
limit first, and some are not.
dominates la
32. lim
x→00 x2 + 3x +1
Xe-3x
31. lim x
オ→0
65. u(x) =
66. u(x) =
34. lim
2* – 1
33. lim
67. u(x) =
X→0+
x2
e 3x
68. u(x) :
ex
In x
35. lim
100 x2 + 3x + 1
36. lim
x→00 In(2x + 1)
69. u(x) =
70. u(x) =
log, x
log, 3x
2x
38. lim In
- 4
37. lim
71. u(x) =
X2+
X- 2
72. u(x) =
In(x – 2)
Inx
39. lim
X+2+
40. lim
x→0+ lnx – x +1
73. и() -
In(x2 – 4)
74. u(x) = |
COS X –
- 1
sin x
41. lim
42. lim
x0 x+ sinx
As you will -
functions ek
functions x"
mic functions
of the limits
sin x
1- cos x
43. lim
sin(cos x)
lim
x>7/2
44.
tan x
COS X
X COS X
sin(In x)
45. lim
x0 1-ex
46. lim
X1 X- 1
75. lim
tan-x
47. lim
tan-x
48. lim
x0 sin-x
X→0 sinx
77. lim
X 300
79. lim 2 x
x+48
49. lim xnx
Now that we
more sophisti
domains, lim.
.Inx
50. lim x
L lim (x- 2)*2-4
52. lim (r2 + 1)*
global extrem
given intervals
81. f(x) =x 1
X2+
53.
lim x/x-1)
X1+
54. lim x
55. lim x/x
()
56.
lim
82. f(x) = x?
83. f(x) = xe
In
X00
408](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d1caaac-c43d-4e83-9fd2-e96d2e2c94bc%2Fba81f59b-6664-43e6-ab36-122a0426e1c5%2F054iaym_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Calculate each of the limits in Exercises 49-64. Some of these
limits are made easier by considering the logarithm of the
limit first, and some are not.
dominates la
32. lim
x→00 x2 + 3x +1
Xe-3x
31. lim x
オ→0
65. u(x) =
66. u(x) =
34. lim
2* – 1
33. lim
67. u(x) =
X→0+
x2
e 3x
68. u(x) :
ex
In x
35. lim
100 x2 + 3x + 1
36. lim
x→00 In(2x + 1)
69. u(x) =
70. u(x) =
log, x
log, 3x
2x
38. lim In
- 4
37. lim
71. u(x) =
X2+
X- 2
72. u(x) =
In(x – 2)
Inx
39. lim
X+2+
40. lim
x→0+ lnx – x +1
73. и() -
In(x2 – 4)
74. u(x) = |
COS X –
- 1
sin x
41. lim
42. lim
x0 x+ sinx
As you will -
functions ek
functions x"
mic functions
of the limits
sin x
1- cos x
43. lim
sin(cos x)
lim
x>7/2
44.
tan x
COS X
X COS X
sin(In x)
45. lim
x0 1-ex
46. lim
X1 X- 1
75. lim
tan-x
47. lim
tan-x
48. lim
x0 sin-x
X→0 sinx
77. lim
X 300
79. lim 2 x
x+48
49. lim xnx
Now that we
more sophisti
domains, lim.
.Inx
50. lim x
L lim (x- 2)*2-4
52. lim (r2 + 1)*
global extrem
given intervals
81. f(x) =x 1
X2+
53.
lim x/x-1)
X1+
54. lim x
55. lim x/x
()
56.
lim
82. f(x) = x?
83. f(x) = xe
In
X00
408
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