
Evaluating Limits Algebraically Quiz
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Nancy Jackson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplest method to evaluate a limit when the function is well-behaved at the point of interest?
Using L'Hôpital's Rule
Direct substitution
Factoring the expression
Using a conjugate
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When evaluating the limit as x approaches 3 for the function (3x + 1)/(x^2 - 4), why is direct substitution valid?
Because x = 3 results in an indeterminate form
Because x = 3 results in a zero denominator
Because the function is undefined at x = 3
Because the function is well-behaved around x = 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if direct substitution results in an indeterminate form like 0/0?
Use a calculator to approximate
Apply L'Hôpital's Rule
Ignore the limit
Factor the expression to simplify
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can factoring help in evaluating limits?
It changes the limit to a different value
It simplifies the expression to remove indeterminate forms
It always results in a zero denominator
It is only useful for polynomial functions
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using a conjugate when dealing with square roots in limits?
To eliminate the square root
To change the limit to infinity
To create a new indeterminate form
To simplify the expression and remove indeterminate forms
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When multiplying by a conjugate, what happens to the middle terms?
They remain unchanged
They become zero
They double in value
They cancel each other out
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common method to simplify complex fractions when evaluating limits?
Using a calculator
Finding a common denominator
Applying L'Hôpital's Rule
Ignoring the fractions
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