
Understanding Limits in Calculus

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary concept that calculus is based upon?
Limits
Derivatives
Functions
Integrals
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the function f(x) = (x-1)/(x-1) undefined at x=1?
Because it is a constant function
Because it is a linear function
Because it results in division by zero
Because it is a quadratic function
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the function f(x) = (x-1)/(x-1) be simplified?
f(x) = 1, with x ≠ 1
f(x) = 0
f(x) = x - 1
f(x) = x
Tags
CCSS.HSF-IF.C.7B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the graph of f(x) = (x-1)/(x-1) look like for x ≠ 1?
A sine wave
A parabola
A vertical line at x = 1
A horizontal line at y = 1
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(x) as x approaches 1?
1
Undefined
Infinity
0
Tags
CCSS.HSF.IF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function g(x) equal to when x = 2?
x^2
2
1
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of g(x) as x approaches 2?
1
2
3
4
Tags
CCSS.HSF-IF.C.7B
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