Evaluate the general limit of a rational function

The video tutorial explores the concept of limits, particularly when approaching undefined values or asymptotes. It discusses the use of graphing calculators to analyze limits and determine if they approach infinity, negative infinity, or do not exist. The tutorial emphasizes checking the graph's behavior from both directions to confirm the limit's nature.

What happens when you apply direct substitution to a limit that results in division by zero?

• The limit is infinite.

• The limit is one.

• The limit is undefined.

• The limit is zero.

Why might a graphing calculator be useful when evaluating limits?

• To simplify the limit expression.

• To find the exact value of the limit.

• To determine if the limit is zero.

• To check the behavior of the graph from both sides of a point.

What should you check when using a graphing calculator to evaluate a limit?

• If the graph is symmetrical.

• If the graph approaches the same value from both sides.

• If the graph is a straight line.

• If the graph has a maximum point.

What does it mean if a graph approaches different values from the left and right of a point?

• The limit does not exist.

• The limit is infinite.

• The limit is zero.

• The limit exists and is finite.

How can you confirm that a limit does not exist using a graph?

• By checking if the graph is a parabola.

• By ensuring the graph is continuous.

• By observing different behaviors from the left and right.

• By finding the slope of the graph.