Question

Question 3(Multiple Choice Worth 2 points)

Find the indicated limit, if it exists.
5x - 8 x < 0
lim f(x), f(x) =
0
|-4-xl x20
-4
0-12
-8
The limit does not exist.

Answer 1

Answer: lim x--> 0 f(x) does not exist.

Explanation:

We need to evaluate both the right and left hand limits in this problem.

lim as x--> 0 from the left = 5(0) - 8 = 0 - 8 = -8

lim as x--> 0 from the right = |-4-(0)| = |-4| = 4

Since the left and right hand limits are not equal (-8 does NOT equal 4), the limit does not exist.