66 Videos for "limit problems"

Computing Definite Integrals using Substitution  Problem 1
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Computing Definite Integrals using Substitution  Problem 3
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Computing Definite Integrals using Substitution  Problem 2
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Instantaneous Velocity  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time. 
Approximating Area Using Rectangles  Problem 3
Math › Calculus › The Definite Integral
How to estimate the area between a curve and the xaxis with left and righthand sums. 
Approximating Area Using Rectangles  Problem 2
Math › Calculus › The Definite Integral
How to estimate the area between a curve and the xaxis with left and righthand sums. 
Approximating Area Using Rectangles  Problem 1
Math › Calculus › The Definite Integral
How to estimate the area between a curve and the xaxis with left and righthand sums. 
Instantaneous Rate of Change  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph. 
Intervals of Increase and Decrease  Problem 2
Math › Calculus › Applications of the Derivative
How to use onesided limits to show that the limit exists by showing that the the lefthand limit must equal the righthand limit. 
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. 
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  Problem 1
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. 
Concavity and Inflection Points  Problem 1
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because the limit as x approaches a does not exist. 
Curve Sketching with Derivatives  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Critical Points  Problem 2
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
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  Problem 3
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Concavity and Inflection Points  Problem 2
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different.