35 Videos for "continuity and limits"

Infinite Limits; Vertical Asymptotes  Problem 3
Math › Calculus › Limits and Continuity
How to find a vertical asymptote for the graph of a logarithmic function by calculating onesided limits. 
Infinite Limits; Vertical Asymptotes  Problem 1
Math › Calculus › Limits and Continuity
Finding vertical asymptotes by finding onesided limits. 
Limits and End Behavior  Problem 1
Math › Calculus › Limits and Continuity
Observing end behavior, how to find the limit of a rational function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph. 
Infinite Limits; Vertical Asymptotes  Problem 2
Math › Calculus › Limits and Continuity
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote. 
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. 
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. 
Continuous Functions  Problem 3
Math › Calculus › Limits and Continuity
How to show that compositions of continuous functions are continuous functions by checking continuity rules for the composition. 
Continuous Functions  Concept
Math › Calculus › Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain. 
Continuous Functions  Problem 2
Math › Calculus › Limits and Continuity
How to show that rational functions are continuous functions. 
Continuous Functions  Problem 1
Math › Calculus › Limits and Continuity
How to show that polynomial functions are continuous functions by checking the properties of continuous functions. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity.