Math Quiz: Limits And Continuity Practice Test

10 Questions | By Anou | Last updated: Mar 22, 2022 | Total Attempts: 1879

Questions

Settings

Create your own Quiz

Math Quiz: Limits And Continuity Practice Test - Quiz

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.

Questions and Answers

1.

In the function f(x)=3x, what is the limit of f(x) as x approaches 2?
- A.
  
  3
- B.
  
  6/2
- C.
  
  6
- D.
  
  6/3
2.

What is the symbol used for limit with calculus?
- A.
  
  Lim x
- B.
  
  Lim of x
- C.
  
  Lim→x
- D.
  
  X→∞
3.

Who is considered to be the godfather of the modern idea of the limit of a function?
- A.
  
  Spinoza
- B.
  
  Bolzano
- C.
  
  Boltzmann
- D.
  
  Newton
4.

What does R represent?
- A.
  
  The real line
- B.
  
  The continuity
- C.
  
  Infinity
- D.
  
  A curve
5.

What is a topological space?
- A.
  
  It's a set of values with a set of neighborhood for each point.
- B.
  
  It's a set of neighborhood for each point.
- C.
  
  It's a set of points with a set of neighborhood for each point.
- D.
  
  It's a set of functions with a set of neighborhood for each point.
6.

What is a Hausdorff space?
- A.
  
  It's T1
- B.
  
  It's T2
- C.
  
  It's a topological space in which distinct points have disjoint neighborhoods.
- D.
  
  It's a topological base in which distinct points have disjoint neighborhoods.
7.

What is the core function of continuity?
- A.
  
  Topology
- B.
  
  Mechanics
- C.
  
  Architecture
- D.
  
  Geography
8.

In what Century did the concept of continuity appear?
- A.
  
  17th Century
- B.
  
  19th Century
- C.
  
  20th Century
- D.
  
  18th Century
9.

What does D represent?
- A.
  
  The area
- B.
  
  The domain
- C.
  
  The population
- D.
  
  The plotting of points
10.

How can you describe a neighborhood in topology?
- A.
  
  It's a graph that contains all points of the domain within some fixed distance of c.
- B.
  
  It's a set that contains all points of the domain within some fixed distance of c.
- C.
  
  It's an area that contains all points of the domain within some fixed distance of c.
- D.
  
  It's a shape that contains all points of the domain within some fixed distance of c.