Math Quiz: Limits And Continuity Practice Test

10 Questions | Total Attempts: 1879

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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.

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