Evaluate the limit of a graph with asymptotes

The video tutorial explains the concept of asymptotes and how values approach them from different directions. It discusses the behavior of functions as they near vertical asymptotes, highlighting the differences in approaching values from the left and right. The tutorial also covers general limits, emphasizing the importance of understanding whether limits approach the same value from both sides. Key concepts include asymptotic behavior, left and right hand limits, and general limits.

What happens to the value of R of X as it gets closer to negative two from the right?

• It remains constant.

• It approaches negative infinity.

• It approaches positive infinity.

• It approaches zero.

As R of X approaches positive two from the left, what is its behavior?

• It approaches negative infinity.

• It approaches positive infinity.

• It approaches zero.

• It remains constant.

What is the behavior of a function at a vertical asymptote?

• It remains constant.

• It approaches the asymptote but never touches it.

• It crosses the asymptote.

• It touches the asymptote.

When considering general limits, what does it mean if a function approaches different values from the left and right?

• The function is differentiable.

• The function is continuous.

• The limit exists.

• The limit does not exist.

If a function approaches the same value from both the left and right, what can be said about the limit?

• The limit exists and is infinite.

• The limit exists and is finite.

• The limit is zero.

• The limit does not exist.