Find the value of the limit $\lim _ { x \rightarrow 4 ^ { + } } \frac { | x - 4 | } { x - 4 }$
A)4
B)-4
C) $\frac { 1 } { 2 }$
D)-2
E)-1
F)2
G)1
H) $- \frac { 1 } { 2 }$

Name: Find the value of the limit $\lim _ { x \rightarrow 4 ^ { + } } \frac { | x - 4 | } { x - 4 }$ A)4 B)-4 C) $\frac { 1 } { 2 }$ D)-2 E)-1 F)2 G)1 H) $- \frac { 1 } { 2 }$
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Question

Find the value of the limit $\lim _ { x \rightarrow 4 ^ { + } } \frac { | x - 4 | } { x - 4 }$
A)4
B)-4
C) $\frac { 1 } { 2 }$ 
D)-2
E)-1
F)2
G)1
H) $- \frac { 1 } { 2 }$

Quizplus · Accepted Answer

When $x$ approaches 4 from the right (i.e., $x > 4$), $|x - 4| = x - 4$, because $x - 4$ is positive. Thus, $\frac{|x - 4|}{x - 4} = \frac{x - 4}{x - 4} = 1$.

Find the Value of the Limit lim⁡x→4+∣x−4∣x−4\lim _ { x \rightarrow 4 ^ { + } } \frac { | x - 4 | } { x - 4 }limx→4+​x−4∣x−4∣​

Find the Value of the Limit $\lim _ { x \rightarrow 4 ^ { + } } \frac { | x - 4 | } { x - 4 }$