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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