Test Questions on Limits and Continuity
Math Quiz: Limits And Continuity Practice Test
10 Questions | Total Attempts: 1973
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When it comes to calculus, a limit is described as a number that a function approaches as the independent variable of the function approaches a given value. On the other hand, a continuity is reflected on a graph illustrating a function,where one can verify whether the graph of a function can be traced without lifting his/her pen from the paper. Try our quiz to test your knowledge about limits and continuity.
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1.
In the function f(x)=3x, what is the limit of f(x) as x approaches 2?
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A.
3
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B.
6/2
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C.
6
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D.
6/3
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2.
What is the symbol used for limit with calculus?
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A.
Lim x
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B.
Lim of x
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C.
Lim→x
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D.
X→∞
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3.
Who is considered to be the godfather of the modern idea of the limit of a function?
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A.
Spinoza
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B.
Bolzano
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C.
Boltzmann
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D.
Newton
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4.
What does R represent?
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A.
The real line
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B.
The continuity
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C.
Infinity
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D.
A curve
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5.
What is a topological space?
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A.
It's a set of values with a set of neighborhood for each point.
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B.
It's a set of neighborhood for each point.
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C.
It's a set of points with a set of neighborhood for each point.
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D.
It's a set of functions with a set of neighborhood for each point.
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6.
What is a Hausdorff space?
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A.
It's T1
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B.
It's T2
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C.
It's a topological space in which distinct points have disjoint neighborhoods.
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D.
It's a topological base in which distinct points have disjoint neighborhoods.
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7.
What is the core function of continuity?
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A.
Topology
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B.
Mechanics
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C.
Architecture
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D.
Geography
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8.
In what Century did the concept of continuity appear?
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A.
17th Century
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B.
19th Century
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C.
20th Century
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D.
18th Century
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9.
What does D represent?
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A.
The area
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B.
The domain
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C.
The population
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D.
The plotting of points
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10.
How can you describe a neighborhood in topology?
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A.
It's a graph that contains all points of the domain within some fixed distance of c.
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B.
It's a set that contains all points of the domain within some fixed distance of c.
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C.
It's an area that contains all points of the domain within some fixed distance of c.
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D.
It's a shape that contains all points of the domain within some fixed distance of c.
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Questions: 11 | Attempts: 5024 | Last updated: Mar 22, 2022
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Sample Question
Screening is:
When it comes to calculus, a limit is described as a number that a function approaches as the independent variable of the function approaches a given value. On the other hand, a continuity is reflected on a graph illustrating a...
Questions: 10 | Attempts: 1975 | Last updated: Mar 22, 2022
-
Sample Question
In the function f(x)=3x, what is the limit of f(x) as x approaches 2?
Functions are an important concept in mathematics. Just how much do you know about functions and function notation? If you think you know enough wouldn't it be fun to take a quiz and test your knowledge about it? Why not give...
Questions: 10 | Attempts: 1784 | Last updated: Oct 11, 2022
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Sample Question
F(x) = 4x - 3 f(2)
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