51. lim (x- 2) *2-4 X+2+ lim r1/(x-1)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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#51 please
A function f dominates another function g as x → o if f(x)
e each of the limits in Exercises 49-64. Some of these
In Exercises 87-89, suppose that Leila is a population
limits are made easier by considering the logarithm of the
and g(x) both grow without bound as x → o and if
lim
74. u(x) = 0.C
sin x
x→0 x + sinx
41. lim
As you will pr
functions ekx a
functions x' v
mic functions
sin(cos x)
lim
1- cOSX
44.
lim
tanx
COS X
43.
x COS X
sin(In x)
46. lim
45. lim
r+0 1- exr
X→1
of the limits i
x- 1
tan-
tan-1 x
47. lim
X+0 sinx
48. lim
x0 sin-x
x10
75. lim
X00
Calculate
77. lim
X00 30
79. lim 2%
50. lim xnx
X00
49. lim xInx
X→00
51. lim (x– 2)*²-4
1/x-1)
52. lim (x2 + 1)*
Now that w
more sophis
domains, li
global extre
given inter
X+2+
x-0+
53. lim x
X→1+
54. lim x
X0+
55. lim x/x
56. lim
X→00
81. f(x) =
82. f(x) =
1
58. lim ()
57. lim
X +1
83. f(x) =
59. lim (x – 1)nx
60. lim (Inx)*-1
X→1+
84. f(x) =
x>1+
61. lim x
sinx
62. lim (sin 3x)2r
x>0+
63. lim (cos x)'/*
64. lim(1 – cos x)*
85. f(x) =
1/x
X→0+
86. f(x) =
f(x)
lim
= 0.
x00 g(x)
Applications
satisfies th
biologint
ma Service. Wolves were
118
Transcribed Image Text:A function f dominates another function g as x → o if f(x) e each of the limits in Exercises 49-64. Some of these In Exercises 87-89, suppose that Leila is a population limits are made easier by considering the logarithm of the and g(x) both grow without bound as x → o and if lim 74. u(x) = 0.C sin x x→0 x + sinx 41. lim As you will pr functions ekx a functions x' v mic functions sin(cos x) lim 1- cOSX 44. lim tanx COS X 43. x COS X sin(In x) 46. lim 45. lim r+0 1- exr X→1 of the limits i x- 1 tan- tan-1 x 47. lim X+0 sinx 48. lim x0 sin-x x10 75. lim X00 Calculate 77. lim X00 30 79. lim 2% 50. lim xnx X00 49. lim xInx X→00 51. lim (x– 2)*²-4 1/x-1) 52. lim (x2 + 1)* Now that w more sophis domains, li global extre given inter X+2+ x-0+ 53. lim x X→1+ 54. lim x X0+ 55. lim x/x 56. lim X→00 81. f(x) = 82. f(x) = 1 58. lim () 57. lim X +1 83. f(x) = 59. lim (x – 1)nx 60. lim (Inx)*-1 X→1+ 84. f(x) = x>1+ 61. lim x sinx 62. lim (sin 3x)2r x>0+ 63. lim (cos x)'/* 64. lim(1 – cos x)* 85. f(x) = 1/x X→0+ 86. f(x) = f(x) lim = 0. x00 g(x) Applications satisfies th biologint ma Service. Wolves were 118
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