58 Videos for "limit problems"

Limits of Rational Functions  Problem 1
Math › Precalculus › Polynomial and Rational Functions
How to find the limit of a rational function as x goes to infinity (or negative infinity). 
Limits of Rational Functions  Problem 2
Math › Precalculus › Polynomial and Rational Functions
How to find the limit of a rational function (with quadratic polynomials) as x goes to negative infinity. 
Limits at a Glance  Problem 2
Math › Precalculus › Polynomial and Rational Functions
How to quickly find the limit of a rational function (cubic polynomials) as x goes to infinity. 
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. 
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. 
Continuous Functions  Problem 2
Math › Calculus › Limits and Continuity
How to show that rational functions are continuous functions. 
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  Problem 1
Math › Calculus › Limits and Continuity
How to show that polynomial functions are continuous functions by checking the properties of continuous functions. 
The Definition of the Derivative  Problem 1
Math › Calculus › The Derivative
How to compute the derivative of a function at a point x=a using the definition of the derivative. 
The Definition of the Derivative  Problem 2
Math › Calculus › The Derivative
How to estimate the derivative of a function at a point x=a. 
The Derivative Function  Problem 1
Math › Calculus › The Derivative
How to use the definition of the derivative to find a formula for the derivative function. 
Average Value of a Function  Problem 3
Math › Calculus › The Definite Integral
How to find the average value of a function over an interval [a,b]. 
The Definition of the Derivative  Problem 3
Math › Calculus › The Derivative
How to compute the derivative using the definition, and how to find an equation of the line tangent to its graph at a point. 
The Definite Integral  Problem 1
Math › Calculus › The Definite Integral
How to use geometry to find the definite integral. 
The Definite Integral  Problem 3
Math › Calculus › The Definite Integral
How to approximate a definite integral with rectangular sums. 
The Definite Integral  Problem 2
Math › Calculus › The Definite Integral
How to evaluate a definite integral that involves a parabola. 
Average Value of a Function  Problem 1
Math › Calculus › The Definite Integral
How to find the average value of a function over an interval [a,b]. 
Computing Definite Integrals using Substitution  Problem 1
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution.