Question

This is an ACT (pre calculus) practice problem that I need help onBelow, I will list the answer options for this problem.A. 1B. -2C. 4D. The limit does not exist.

Answer 1

Notice that the function is discontinuous specifically in x=1; therefore,

$\lim _{x\to1}f(x)\to\text{does not exist}$

However, we are being asked for the limit when we approach x=1 from the left.

And, according to the graph, that limit is:

$\lim _{x\to1^-}f(x)=4$

The answer is 4, option C.