Limit Problem Solving Strategies

Nancy explains how to find limits at finite values using four main strategies: plugging in, factoring, finding a common denominator, and expanding. She also discusses oddball cases and common mistakes. The video provides a structured approach to tackling limit problems, emphasizing the importance of choosing the right method.

What is the main focus of Nancy's video tutorial?

• Finding the limit at infinity

• Introduction to calculus

• Understanding derivatives

• Finding the limit at a finite value

Which of the following is NOT one of the four main strategies for finding limits?

• Getting a common denominator

• Plugging in the value

• Using L'Hôpital's Rule

• Factoring

What should you do first when trying to find a limit?

• Find a common denominator

• Factor the expression

• Plug in the value

• Expand the expression

What is a sign that you need to try another method after plugging in?

• Getting a negative number

• Getting a complex number

• Getting a positive number

• Getting a zero in the denominator

What is the next step if plugging in results in an indeterminate form?

• Try factoring

• Guess the answer

• Use a calculator

• Skip the problem

What does DNE stand for in the context of limits?

• Do Not Evaluate

• Do Not Enter

• Does Not Exist

• Does Not Equal

What should you try if factoring does not simplify the expression?

• Use a graphing tool

• Change the function

• Get a common denominator

• Use a different variable

What is the purpose of expanding an expression in limit problems?

• To find the derivative

• To simplify and cancel terms

• To make it more complex

• To change the variable

What is a common mistake people make when solving limit problems?

• Ignoring the variable

• Giving up too early

• Using too many steps

• Not using a calculator

What should you do if you encounter a limit problem with a square root in the numerator?

• Multiply by a conjugate

• Use the same strategies as before

• Use a calculator

• Ignore the square root