Review - 1.A. Limits (video 1) (video 2)
- 1.B. Finding Limits Algebraically
- How are limits found algebraically? (checkpoints)
- Nonexistent Limits (video)
- How can limits fail to exist?
- 1.C. One-sided Limits (video) & Continuity (video)
- How are one-sided limits found and evaluated? (checkpoints)
- 1.D. Infinite Limits (video)
- 1.E. Limits at Infinity (video)
Lesson
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Standard(s)
- APC.2
- Define and apply the properties of limits of functions.
- Limits will be evaluated graphically and algebraically.
- Includes:
- limits of a constant
- limits of a sum, product, and quotient
- one-sided limits
- limits at infinity, infinite limits, and non-existent limits
- APC.3
- Use limits to define continuity and determine where a function is continuous or discontinuous.
- Includes:
- continuity in terms of limits
- continuity at a point and over a closed interval
- application of the Intermediate Value Theorem and the Extreme Value Theorem
- geometric understanding and interpretation of continuity and discontinuity
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