35 Videos for "continuity and limits"

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. 
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 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  Concept
Math › Calculus › Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a. 
Evaluating Limits Algebraically, Part 1  Concept
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function using continuity. 
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 1  Problem 2
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function using continuity. 
Evaluating Limits Algebraically, Part 1  Problem 3
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function with a radical by using continuity and finding where it is not continuous. 
Limits: A Numerical Approach  Concept
Math › Calculus › Limits and Continuity
How to estimate a limit using a table of values. 
OneSided Limits  Concept
Math › Calculus › Limits and Continuity
How to use onesided limits to show that a limit does not exist. 
Limits: A Graphical Approach  Concept
Math › Calculus › Limits and Continuity
How to determine onesided and twosided limits from the graph of a function. 
OneSided Limits  Problem 1
Math › Calculus › Limits and Continuity
How to use onesided limits to show that the limit exists by showing that the the lefthand limit must equal the righthand limit. 
OneSided Limits  Problem 3
Math › Calculus › Limits and Continuity
How to find a twosided limit by investigating onesided limits. 
OneSided Limits  Problem 2
Math › Calculus › Limits and Continuity
How to show that the limit does not exist by showing that the lefthand limit does not equal the righthand limit. 
Infinite Limits; Vertical Asymptotes  Concept
Math › Calculus › Limits and Continuity
How to use onesided limits to find a vertical asymptote. 
Limits: A Graphical Approach  Problem 2
Math › Calculus › Limits and Continuity
How to determine limits from the graph of a function and the difference between the limit and value of a function. 
Limits: A Graphical Approach  Problem 1
Math › Calculus › Limits and Continuity
How to determine onesided and twosided limits from the graph of a function. 
Limits and End Behavior  Problem 3
Math › Calculus › Limits and Continuity
How to determine the oblique asymptote of the graph of a rational function to determine end behavior. 
Limits and End Behavior  Problem 2
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph. 
Limits and End Behavior  Concept
Math › Calculus › Limits and Continuity
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.