Limits
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This document discusses limits, continuity, and asymptotes of functions. It defines types of discontinuities like jumps and non-existence in intervals. It also outlines methods for evaluating limits like substitution, simplification, and graphing or using tables of values. Continuity requires that a function exists at all points and its limit values match its function values everywhere.
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Limits
- 2. The intended height (y)
- 4. Jump Non-existence in an interval Point infinite
- 5. Continuity
- 6. All function values exist All limit values exist Function values for every x = limit value for every x
- 8. Slant Horizontal Vertical (lines that graphs approach but never touch)
- 9. Methods
- 10. Substitution Simplification Table of values graphing