# Transcribed Image Text: A function f dominates another function g as x → o if f(x)

Transcribed Image Text: A function f dominates another function g as x → o if f(x)

and g(x) both grow without bound as x → o and if

f(x)

lim

= 0.

x+00 g(x) Transcribed Image Text: Intuitively, f dominates g as x → o if f (x) is very much larger

than g(x) for very large values of x. În Exercises 65–74, use

limits to determine whether u(x) dominates v(x), or v(x)

dominates u(x), or neither.

65. u(x) = x+ 100, v(x) = x

66. u(x) = 5x² +1, v(x) = x³

67. u(x) = 100x², v(x) = 2×100

68. u(x) = x², v(x) = 2*

%3D

69. u(x) = 2*, v(x) = e*

70. u(x) = x10 +3, v(x) = 10* +3

71. u(x) = log, x, v(x) = log30 x

72. u(x) = In(x² + 1), v(x) = x² + 1

73. u(x) = 0.001e0.001x, v(x) = 100×100

74. u(x) = 0.001x² – 100x, v(x) = 100 log3 x

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