Exploring the Concept of Limits

Why are mathematicians able to avoid awkward situations according to the instructor?

• They are good at social interactions.

• They use advanced technology.

• They avoid walking in crowded places.

• They can predict trends using calculus.

What does 'lim' represent in limit notation?

• An equation.

• A specific value.

• A function.

• A trend or direction.

Which of the following is NOT a possible outcome of a limit?

• A numerical constant.

• Infinity.

• A variable.

• Negative infinity.

What does a 'hole' in a graph indicate?

• A point where the function changes direction.

• A point where the function is zero.

• A point where the function is undefined.

• A point where the function is infinite.

What is the limit as x approaches negative one for the given graph?

• 1

• 0

• 2

• Does not exist

When finding the limit as x approaches 1, what is more important?

• The trend as x approaches 1.

• The value of the function at x=0.

• The actual value at x=1.

• The slope of the function.

What is the limit as x approaches 2 for the given graph?

• Does not exist

• 1

• 2

• 3

What should you do if a function has a radical in the denominator?

• Divide by the radical.

• Add a constant to the function.

• Multiply by the conjugate.

• Ignore the radical.

What is the limit as x approaches 1 for the function x minus 1 over root x minus 1?

• 2

• 1

• 3

• Does not exist

How do you find the coordinate of a hole in a function?

• By plugging the x value of the hole into the simplified equation.

• By setting the numerator to zero.

• By finding the derivative of the function.

• By setting the denominator to zero.