9 Videos for "definition of a function continuous at a point"

Continuity  Concept
Math › Calculus › Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a. 
Continuity  Problem 1
Math › Calculus › Limits and Continuity
How to show that a function is discontinuous at a point x=a because it is not defined at a. Explanation of continuity. 
Continuity  Problem 2
Math › Calculus › Limits and Continuity
How to show that a function is discontinuous at a point x=a because the limit as x approaches a does not exist. 
Continuity  Problem 3
Math › Calculus › Limits and Continuity
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different. Explanation of continuity. 
Evaluating Limits Algebraically, Part 2  Problem 1
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous. Finding points of discontinuity of rational functions and canceling factors so that the function becomes continuous. 
Evaluating Limits Algebraically, Part 1  Problem 1
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function using continuity and whether or not a function is continuous at the evaluated point. 
Evaluating Limits Algebraically, Part 2  Concept
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous. 
Evaluating Limits Algebraically, Part 2  Problem 2
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous. 
Evaluating Limits Algebraically, Part 2  Problem 3
Math › Calculus › Limits and Continuity
How to evaluate the limit of a radical function at points where it is not continuous by multiplying by the conjugate of the radical expression.