88 Videos for "limits"

Optimization Using the Closed Interval Method  Problem 3
Math › Calculus › Applications of the Derivative
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. 
Average Value of a Function  Problem 2
Math › Calculus › The Definite Integral
How to use definite integrals to find the average value of a function, f= 12x/(x^2 + 16), over an interval [a,b]. 
Computing Definite Integrals using Substitution  Problem 2
Math › Calculus › The Definite Integral
How to evaluate definite integrals of rational functions by using the method of substitution. 
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 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 2
Math › Calculus › The Definite Integral
How to estimate the area under a curve, f = x^2 +1, 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 by computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph.