Find $\lim _ { x \rightarrow - 1 } \frac { | x + 1 | } { x + 1 }$ , if it exists.
A) -1
B) 1
C) Does not exist
D) 0

Name: Find $\lim _ { x \rightarrow - 1 } \frac { | x + 1 | } { x + 1 }$ , if it exists. A) -1 B) 1 C) Does not exist D) 0
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Question

Quizplus · Accepted Answer

The limit does not exist because the function behaves differently as x approaches -1 from the left and from the right. For x > -1, the expression simplifies to 1, and for x < -1, it simplifies to -1, leading to a discontinuity at x = -1.

Find lim⁡x→−1∣x+1∣x+1\lim _ { x \rightarrow - 1 } \frac { | x + 1 | } { x + 1 }limx→−1​x+1∣x+1∣​

Find $\lim _ { x \rightarrow - 1 } \frac { | x + 1 | } { x + 1 }$