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Limits

The notes move from the formal meaning of approaching a value to the algebraic tools used in calculations.

StepQuestionNote
1What does it mean for a function to approach a value?Limit Definitions
2When does a two-sided limit exist?Two-Sided and One-Sided Limits
3Which algebraic operations preserve limits?Limit Laws
4Which standard patterns are worth recognizing?Common Limit Patterns
5How should an indeterminate expression be transformed?Evaluating Limits
6When does nearby behavior agree with the function value?Continuity

External references: Paul's Online Notes and the CLP-1 differential calculus text.