Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x is greater than 5

It looks like we have

and we want to find .

Since is approaching 5, we don't care about the value of when .

We do care about how behaves to either side of . If from below, then , so that

On the other hand, if from above, then , so that

The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.