Question

Find the limit

Answer 1

Correct option is B. $$-4$$

Note that we are looking for the limit as x approaches 1 from the left $$( x → 1^{-l})$$means x approaches 1 by values smaller than 1). Hence

$$x < 1$$
$$x - 1 < 0$$

If $$x - 1 < 0$$ then
$$| x - 1 | = - (x - 1)$$

Substitute $$| x - 1 | \ by \ - (x - 1),$$ factor the numerator to write the limit as follows

$$Simplify\ to\ obtain$$