The video tutorial discusses the concept of limits in calculus, focusing on situations where limits do not exist. It begins by explaining the failure of direct substitution and explores alternative methods like factoring and rationalizing. The instructor then demonstrates how to use left and right hand limits to analyze the behavior of a graph near a point where the limit does not exist. The tutorial emphasizes understanding the behavior of functions and the importance of evaluating limits from both sides to determine their existence.

What is the initial method used to determine if a limit exists?

• Graphing the function

• Factoring the expression

• Direct substitution

• Using a calculator

When evaluating the left-hand limit, what is the result of dividing a negative by a negative?

• Undefined

• Zero

• Negative

• Positive

What value is chosen to evaluate the left-hand limit?

• 2.0001

• 1.9999

• 1.5

• 2.5

What is the result of the right-hand limit evaluation?

• Negative infinity

• Zero

• Positive infinity

• Undefined

What tool is suggested for visualizing the behavior of the graph?

• A graphing calculator

• A ruler

• A protractor

• A spreadsheet