Question

I have an ACT practice problem that I need help answering. It is calculus. The answer options are provided belowA. the limit does NOT exist.B. 1C. -2D. 4

Answer 1

We have the next graph

And we must determine the limit of the function when x -> 1

In order to find the limit we must use that :

1. One-sided limits must be equal

`\lim _(x\to1^-)f(x)=4`

And,

`\lim _(x\to1^+)f(x)=-2`

We can see that they are different, then the limit does not exist.

ANSWER:

A. The limit does NOT exist