limits 26 videos

OneSided Limits
Calculus Limits and Continuity
How to use onesided limits to show that a limit does not exist.
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An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
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Limits: A Graphical Approach
Calculus Limits and Continuity
How to determine onesided and twosided limits from the graph of a function.
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Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
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Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use onesided limits to find a vertical asymptote.
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Limits and End Behavior
Calculus Limits and Continuity
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.
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Evaluating Limits Algebraically, Part 1
Calculus Limits and Continuity
How to evaluate the limit of a function using continuity.
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Evaluating Limits Algebraically, Part 2
Calculus Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
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Critical Points
Calculus Applications of the Derivative
How to find a twosided limit by investigating onesided limits.

The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
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Intervals of Increase and Decrease
Calculus Applications of the Derivative
How to estimate a limit using a table of values.

Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.

Optimization Using the Closed Interval Method
Calculus Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.

Continuity
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a.
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Computing Definite Integrals using Substitution
Calculus The Definite Integral
How to evaluate definite integrals using the method of substitution.
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The First Derivative Test for Relative Maximum and Minimum
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.

Relative Maxima and Minima
Calculus Applications of the Derivative
How to use onesided limits to find a vertical asymptote.

Instantaneous Velocity
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.
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Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
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Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
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