Limits and continuity
Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point. These simple yet powerful ideas play a major role in all of calculus.
This course contains 16 segments:
Defining limits and using limit notation
Estimating limit values from graphs
Estimating limit values from tables
Determining limits using algebraic properties of limits: limit properties
Determining limits using algebraic properties of limits: direct substitution
Determining limits using algebraic manipulation
Selecting procedures for determining limits
Determining limits using the squeeze theorem
Exploring types of discontinuities
Defining continuity at a point
Confirming continuity over an interval
Removing discontinuities
Connecting infinite limits and vertical asymptotes
Connecting limits at infinity and horizontal asymptotes
Working with the intermediate value theorem
Optional videos
Some things are not explicitly required by the AP Calculus BC course, but many teachers cover them and we also find them useful. We've gathered those optional videos here for your convenience.
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Rating | Not enough ratings |
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Length | 16 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
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Rating | Not enough ratings |
---|---|
Length | 16 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
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