
Understanding the Squeeze Theorem and Its Application

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main mathematical concept used to prove the limit in this video?
Direct Substitution
Squeeze Theorem
L'Hôpital's Rule
Taylor Series
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a condition of the Squeeze Theorem?
f(x) must be integrable at C
f(x) must be bounded by two functions near C
f(x) must be differentiable at C
f(x) must be continuous at C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the Squeeze Theorem, what does it mean for a function to be 'squeezed'?
It is bounded between two other functions
It is equal to the average of two other functions
It is the integral of two other functions
It is the derivative of two other functions
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the functions G(x) and H(x) in the Squeeze Theorem?
They are derivatives of f(x)
They are inverses of f(x)
They are integrals of f(x)
They bound f(x) from below and above
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function is used as the lower bound in the proof?
H(x) = |x| + 1
f(x) = e^x - 1 / x
G(x) = -|x| + 1
f(x) = e^x + 1 / x
Tags
CCSS.HSF-LE.A.1A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the interval from -1 to 1 in the proof?
It is where f(x) is undefined
It is where the Squeeze Theorem is applied
It is where f(x) is continuous
It is where f(x) is differentiable
Tags
CCSS.HSF-LE.A.1A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the limit of the middle function determined in the proof?
By graphical analysis
By using L'Hôpital's Rule
By direct substitution
By integration
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