Calculus Limit Problem Quiz

Calculus Limit Problem Quiz

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Nancy Jackson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the main reason the problem discussed in the video was considered unique?

It was a standard problem from the College Board materials.

It was a harder than average limit problem not seen in typical AP Calculus exams.

It was a problem that required AI to solve.

It was removed from Reddit for being too easy.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an indeterminate form in calculus?

A form that always results in infinity.

A form where the limit cannot be determined from the initial substitution.

A form where the limit can be determined directly.

A form where the limit is always zero.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common mistake do students make when evaluating limits of the form 0/0?

Assuming the limit is zero.

Assuming the limit does not exist.

Assuming the limit is infinity.

Assuming the limit is one.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the limit sin(x)/x as x approaches zero?

It is always zero.

It is an indeterminate form that equals one.

It is always infinity.

It is undefined.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does Li Tall's rule help in evaluating limits?

By providing a geometric proof.

By taking the derivative of the numerator and denominator.

By substituting zero directly into the function.

By converting the limit into a definite integral.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which calculus textbook was mentioned as not having a problem like the one discussed?

Thomas' Calculus

Michael Spivak's Calculus

James Stewart's Calculus

Larson's Calculus

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the first step in solving the limit problem without using Li Tall's rule?

Using a calculator to find the limit.

Substituting zero into the expression.

Taking an exponent off the sine and x terms.

Applying the rule directly.

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