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f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that lim lim X= - 00 f(x) ? Give reasons for your answer. Xo 9(x) X - o0 9(X) Choose the correct choice below. OA. There is not enough information to conclude anything about the f(x) lim g(x)* X=- 9(x) OB. f(x) = - 2. because if lim g(x) f(x) = 2. then f(x) lim It is possible to conclude that lim f(x) is the opposite of lim X = - 00 xo 9(x) X00 X=- 0 9(x X= - 00 Xo 9(x) OC. It is possible to conclude that f(x) = 2, because if lim f(x) = 2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is possible to divide the numerator and denominator by the lim X - 9(x) largest x-term and have a constant remaining. Xo 9(x) OD. f(x) The lim does not exist, because g(x) is zero as x approaches negative infinity. X - 00 9(x)

f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that lim lim X= - 00 f(x) ? Give reasons for your answer. Xo 9(x) X - o0 9(X) Choose the correct choice below. OA. There is not enough information to conclude anything about the f(x) lim g(x)* X=- 9(x) OB. f(x) = - 2. because if lim g(x) f(x) = 2. then f(x) lim It is possible to conclude that lim f(x) is the opposite of lim X = - 00 xo 9(x) X00 X=- 0 9(x X= - 00 Xo 9(x) OC. It is possible to conclude that f(x) = 2, because if lim f(x) = 2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is possible to divide the numerator and denominator by the lim X - 9(x) largest x-term and have a constant remaining. Xo 9(x) OD. f(x) The lim does not exist, because g(x) is zero as x approaches negative infinity. X - 00 9(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 57E
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f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that lim f(x) -? Give reasons for your answer. 9(x) lim X0o 9(x) X = - o g(X) - 00 Choose the correct choice below. O A. There is not enough information to conclude anything about the f(x) lim g(x) X = - o0 OB. f(x) = - 2. because if lim g(x) f(x) = 2, then f(x) is the opposite of lim g(x) It is possible to conclude that lim f(x) lim %3D g(x) x = - 00 Xo 9(x) X = - o0 X00 OC. It is possible to conclude that f(x) = 2. because if lim f(x) = 2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is possible to divide the numerator and denominator by the lim X= - om 9(X) largest x-term and have a constant remaining. X = - 00 X 9(x) X00 O D. The f(x) does not exist, because g(x) is zero as x approaches negative infinity. lim X= - m 9(x)
Transcribed Image Text:f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that lim f(x) -? Give reasons for your answer. 9(x) lim X0o 9(x) X = - o g(X) - 00 Choose the correct choice below. O A. There is not enough information to conclude anything about the f(x) lim g(x) X = - o0 OB. f(x) = - 2. because if lim g(x) f(x) = 2, then f(x) is the opposite of lim g(x) It is possible to conclude that lim f(x) lim %3D g(x) x = - 00 Xo 9(x) X = - o0 X00 OC. It is possible to conclude that f(x) = 2. because if lim f(x) = 2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is possible to divide the numerator and denominator by the lim X= - om 9(X) largest x-term and have a constant remaining. X = - 00 X 9(x) X00 O D. The f(x) does not exist, because g(x) is zero as x approaches negative infinity. lim X= - m 9(x)
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