Question

Find the indicated limit, if it exists.

Answer 1

Seems like you have no idea about limits ? Do you ? :|
What if I were to ask you about the left hand limit of the function at x->0 ?

Answer 2

hmm. If x<0, what part of the function will you use ?
5x-8 or |-4-x| ?
Left hand limit means the value which is just less than 0. That'd mean x<0.

Answer 3

So which part will you use ?
5x-8 or |-4-x| ?

Answer 4

How can you not know? Its given in the question. What is the expression for the function when x<0 ?