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Limits and continuity

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

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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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Time
8 hours
Via
Khan Academy
This course belongs to a collection called AP®︎ Calculus BC. It's comprised of 12 courses:
  1. Infinite sequences and series
  2. Limits and continuity (viewing)
  3. Differentiation: definition and basic derivative rules
  4. Differentiation: composite, implicit, and inverse functions
  5. Contextual applications of differentiation
  6. Applying derivatives to analyze functions
  7. Integration and accumulation of change
  8. Differential equations
  9. Applications of integration
  10. Parametric equations, polar coordinates, and vector-valued functions
  11. AP Calculus BC solved exams
  12. AP®︎ Calculus BC Standards mappings
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