88 Videos for "limits"

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. 
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. 
Intervals of Increase and Decrease  Problem 3
Math › Calculus › Applications of the Derivative
How to show that the limit does not exist by showing that the lefthand limit does not equal the righthand limit. 
Critical Points  Concept
Math › Calculus › Applications of the Derivative
How to find a twosided limit by investigating onesided limits. 
Intervals of Increase and Decrease  Problem 1
Math › Calculus › Applications of the Derivative
How to use onesided limits to show that a limit does not exist. 
The First Derivative Test for Relative Maximum and Minimum  Concept
Math › Calculus › Applications of the Derivative
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. 
Critical Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Intervals of Increase and Decrease  Concept
Math › Calculus › Applications of the Derivative
How to estimate a limit using a table of values. 
The Derivative Function  Concept
Math › Calculus › The Derivative
How to define the derivative function f'(x). 
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. 
Relative Maxima and Minima  Concept
Math › Calculus › Applications of the Derivative
How to use onesided limits to find a vertical asymptote. 
The Definite Integral  Concept
Math › Calculus › The Definite Integral
How to define the definite integral. 
Critical Points  Problem 1
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
The Definition of the Derivative  Concept
Math › Calculus › The Derivative
How to define the derivative of a function at a point x=a. 
Derivatives of Exponential Functions  Concept
Math › Calculus › The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions. 
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. 
Instantaneous Velocity  Concept
Math › Calculus › The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time. 
Optimization Using the Closed Interval Method  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.