Limit Points and Continuity
Description: This quiz covers the concepts of limit points and continuity in topology. Test your understanding of these fundamental concepts by answering the following questions. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: topology limit points continuity |
Which of the following sets is an open set in the real numbers?
Which of the following sets is a closed set in the real numbers?
What is the limit point of the set {1/n : n is a natural number} in the real numbers?
Which of the following functions is continuous at x = 0?
Which of the following functions is discontinuous at x = 0?
What is the intermediate value theorem?
Which of the following functions satisfies the intermediate value theorem on the interval [0, 1]?
Which of the following functions does not satisfy the intermediate value theorem on the interval [0, 1]?
What is the definition of a limit point of a set?
Which of the following sets has the limit point 0?
Which of the following sets does not have the limit point 0?
What is the definition of continuity of a function at a point?
Which of the following functions is continuous at x = 0?
Which of the following functions is discontinuous at x = 0?