Question
- -1
- 1
- 0
- 2
Hint:
The absolute value function | x-2 | can be defined as the piecewise function. In this question, we have to find value of
.
The correct answer is: -1
The absolute value function | x-2 | can be defined as the piecewise function.
| x-2 |=
we should determine if the limit from the left approaches the limit from the right .
When the function is directly to the left of x = - 2 we are on the - (x + 2) portion of the piecewise function since x < - 2.
Thus, the function when x<-2 becomes
Hence the limit from the left is,
= = -1
From the right , so we just use x+2 in place | x+ 2 |
= = 1
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
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