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