f (x) If lim f(x) = 12, and lim g(x) = 3, what is lim Xc Vg(x) А. 1 В. 2 С.4 D. undefined The Limit Theorems below are applied in the solutions of lim(2 x +4x2) EXCEPT x-1 lim (2 x³ – 4x2) lim 2 x3 + lim 4 x2 %3D X→-1 X-1 X-1 = 2 lim x3 + 4 lim x2 X--1 X--1 = 2 ( lim x)3 + 4 ( lim x)2 x-1 = 2(-1)³ + 4(-1)² = 2 A. Addition Limit C. Power Limit B. Constant Multiple Limit D. Constant Limit

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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f(x).
If lim f(x) = 12, and lim g(x) = 3, what is lim
XC g(x)
%3D
A. 1
В. 2
С.4
D. undefined
The Limit Theorems below are applied in the solutions of lim(2 x3 +4x2) EXCEPT
X-1
lim (2 x³ – 4x2)
lim 2 x3 + lim 4 x2
X→-1
X-1
X→-1
= 2 lim x3 + 4 lim x2
X -1
X-1
= 2 ( lim x)3 + 4 ( lim x)2
%3D
= 2(-1)3 +4(-1)²
=D2
A. Addition Limit
C. Power Limit
B. Constant Multiple Limit
D. Constant Limit
Transcribed Image Text:f(x). If lim f(x) = 12, and lim g(x) = 3, what is lim XC g(x) %3D A. 1 В. 2 С.4 D. undefined The Limit Theorems below are applied in the solutions of lim(2 x3 +4x2) EXCEPT X-1 lim (2 x³ – 4x2) lim 2 x3 + lim 4 x2 X→-1 X-1 X→-1 = 2 lim x3 + 4 lim x2 X -1 X-1 = 2 ( lim x)3 + 4 ( lim x)2 %3D = 2(-1)3 +4(-1)² =D2 A. Addition Limit C. Power Limit B. Constant Multiple Limit D. Constant Limit
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