
Understanding the Squeeze Theorem and Limits

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to have rigor in mathematical proofs?
To make the proof more complex
To ensure the proof is watertight and free of errors
To make the proof easier to memorize
To ensure the proof is visually appealing
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in deriving a function using first principles?
Using a calculator
Applying the chain rule
Starting with f dash and a limit
Guessing the derivative
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using limits in the derivative formula?
To avoid using fractions
To calculate the gradient at a single point
To eliminate the need for algebra
To simplify the function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When expanding the derivative of sine, what is the goal?
To eliminate the variable h
To add more terms to the expression
To get rid of the variable x
To make the expression longer
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to sine x as h approaches zero?
It approaches zero
It remains unchanged
It approaches infinity
It becomes undefined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the limit of cos h minus 1 over h as h approaches zero?
It proves that the limit is infinite
It shows that the limit is undefined
It determines the speed of convergence
It indicates that the limit approaches zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine which function approaches zero faster?
By using the squeeze theorem
By guessing
By graphing the functions
By using a calculator
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