x - 2x - 8 x2 - 2x - 8 Explain why lim = lim (x + 2), and then evaluate lim х-4 X-4 X4 X-4 X-4 ..... Choose the correct answer below. A. x - 2x - 8 The numerator of the expression simplifies to x + 2 for all x, so the limits are equal. X-4 В. x2 - 2x - 8 The limits lim and lim (x+ 2) equal the same number when evaluated using direct substitution. х-4 X-4 X4 С. - 2x - 8 Since = x+2 whenever x#4, it follows that the two expressions evaluate to the same number as x approaches 4. х-4 D. Since each limit approaches 4, it follows that the limits are equal. Now evaluate the limit. x2 - 2x - 8 lim (Simplify your answer.) х- 4 X→4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Can someone please explain this to me? Please answer with legible hand writing, thank you!
x2 - 2x - 8
x - 2x - 8
Explain why lim
= lim (x + 2), and then evaluate lim
X-4
X-4
X→4
X→4
X4
.....
Choose the correct answer below.
O A.
The numerator of the expression
x - 2x - 8
simplifies to x +2 for all x, so the limits are equal.
X-4
В.
x2 - 2x - 8
The limits lim
and lim (x+ 2) equal the same number when evaluated using direct substitution.
X-4
C.
- 2x -8
Since
=x+2 whenever x# 4, it follows that the two expressions evaluate to the same number as x approaches 4.
х-4
D. Since each limit approaches 4, it follows that the limits are equal.
Now evaluate the limit.
x2 - 2x - 8
lim
(Simplify your answer.)
X-4
X→4
Transcribed Image Text:x2 - 2x - 8 x - 2x - 8 Explain why lim = lim (x + 2), and then evaluate lim X-4 X-4 X→4 X→4 X4 ..... Choose the correct answer below. O A. The numerator of the expression x - 2x - 8 simplifies to x +2 for all x, so the limits are equal. X-4 В. x2 - 2x - 8 The limits lim and lim (x+ 2) equal the same number when evaluated using direct substitution. X-4 C. - 2x -8 Since =x+2 whenever x# 4, it follows that the two expressions evaluate to the same number as x approaches 4. х-4 D. Since each limit approaches 4, it follows that the limits are equal. Now evaluate the limit. x2 - 2x - 8 lim (Simplify your answer.) X-4 X→4
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